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Finding the Fourth Proportional to 10,480.71, 15,722.99 and 3,461.20

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Solution

The fourth proportional to 10,480.71, 15,722.99 and 3,461.20 is: 5,192.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.71 : 15,722.99 = 3,461.20 : x
  2. Step 2: Convert to fraction form
    10,480.71/15,722.99 = 3,461.20/x
  3. Step 3: Cross multiply
    10,480.71x = 15,722.99 × 3,461.20
  4. Step 4: Simplify right side
    10,480.71x = 54,420,317.07
  5. Step 5: Solve for x
    x = 54,420,317.07/10,480.71
  6. Step 6: Final answer
    x = 5,192.43

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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.