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Finding the Fourth Proportional to 10,404.80, 14,359.16 and 5,689.04

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Solution

The fourth proportional to 10,404.80, 14,359.16 and 5,689.04 is: 7,851.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.80 : 14,359.16 = 5,689.04 : x
  2. Step 2: Convert to fraction form
    10,404.80/14,359.16 = 5,689.04/x
  3. Step 3: Cross multiply
    10,404.80x = 14,359.16 × 5,689.04
  4. Step 4: Simplify right side
    10,404.80x = 81,689,835.61
  5. Step 5: Solve for x
    x = 81,689,835.61/10,404.80
  6. Step 6: Final answer
    x = 7,851.17

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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.