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Finding the Fourth Proportional to 10,471.40, 15,706.16 and 3,451.35

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Solution

The fourth proportional to 10,471.40, 15,706.16 and 3,451.35 is: 5,176.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.40 : 15,706.16 = 3,451.35 : x
  2. Step 2: Convert to fraction form
    10,471.40/15,706.16 = 3,451.35/x
  3. Step 3: Cross multiply
    10,471.40x = 15,706.16 × 3,451.35
  4. Step 4: Simplify right side
    10,471.40x = 54,207,438.06
  5. Step 5: Solve for x
    x = 54,207,438.06/10,471.40
  6. Step 6: Final answer
    x = 5,176.72

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