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Finding the Fourth Proportional to 6,383.10, 9,574.65 and 5,615.10

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Solution

The fourth proportional to 6,383.10, 9,574.65 and 5,615.10 is: 8,422.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.10 : 9,574.65 = 5,615.10 : x
  2. Step 2: Convert to fraction form
    6,383.10/9,574.65 = 5,615.10/x
  3. Step 3: Cross multiply
    6,383.10x = 9,574.65 × 5,615.10
  4. Step 4: Simplify right side
    6,383.10x = 53,762,617.22
  5. Step 5: Solve for x
    x = 53,762,617.22/6,383.10
  6. Step 6: Final answer
    x = 8,422.65

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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.