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Finding the Fourth Proportional to 5,728.30, 8,592.45 and 4,270.30

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Solution

The fourth proportional to 5,728.30, 8,592.45 and 4,270.30 is: 6,405.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.30 : 8,592.45 = 4,270.30 : x
  2. Step 2: Convert to fraction form
    5,728.30/8,592.45 = 4,270.30/x
  3. Step 3: Cross multiply
    5,728.30x = 8,592.45 × 4,270.30
  4. Step 4: Simplify right side
    5,728.30x = 36,692,339.24
  5. Step 5: Solve for x
    x = 36,692,339.24/5,728.30
  6. Step 6: Final answer
    x = 6,405.45

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.