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Finding the Fourth Proportional to 10,462.56, 15,755.70 and 7,561.14

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Solution

The fourth proportional to 10,462.56, 15,755.70 and 7,561.14 is: 11,386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.56 : 15,755.70 = 7,561.14 : x
  2. Step 2: Convert to fraction form
    10,462.56/15,755.70 = 7,561.14/x
  3. Step 3: Cross multiply
    10,462.56x = 15,755.70 × 7,561.14
  4. Step 4: Simplify right side
    10,462.56x = 119,131,053.50
  5. Step 5: Solve for x
    x = 119,131,053.50/10,462.56
  6. Step 6: Final answer
    x = 11,386.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.