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Finding the Fourth Proportional to 5,402.70, 8,104.05 and 3,210.30

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Solution

The fourth proportional to 5,402.70, 8,104.05 and 3,210.30 is: 4,815.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.70 : 8,104.05 = 3,210.30 : x
  2. Step 2: Convert to fraction form
    5,402.70/8,104.05 = 3,210.30/x
  3. Step 3: Cross multiply
    5,402.70x = 8,104.05 × 3,210.30
  4. Step 4: Simplify right side
    5,402.70x = 26,016,431.72
  5. Step 5: Solve for x
    x = 26,016,431.72/5,402.70
  6. Step 6: Final answer
    x = 4,815.45

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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.