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Finding the Fourth Proportional to 10,490.50, 14,476.89 and 5,775.13

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Solution

The fourth proportional to 10,490.50, 14,476.89 and 5,775.13 is: 7,969.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.50 : 14,476.89 = 5,775.13 : x
  2. Step 2: Convert to fraction form
    10,490.50/14,476.89 = 5,775.13/x
  3. Step 3: Cross multiply
    10,490.50x = 14,476.89 × 5,775.13
  4. Step 4: Simplify right side
    10,490.50x = 83,605,921.75
  5. Step 5: Solve for x
    x = 83,605,921.75/10,490.50
  6. Step 6: Final answer
    x = 7,969.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.