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Finding the Fourth Proportional to 10,404.78, 14,358.90 and 5,689.32

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Solution

The fourth proportional to 10,404.78, 14,358.90 and 5,689.32 is: 7,851.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.78 : 14,358.90 = 5,689.32 : x
  2. Step 2: Convert to fraction form
    10,404.78/14,358.90 = 5,689.32/x
  3. Step 3: Cross multiply
    10,404.78x = 14,358.90 × 5,689.32
  4. Step 4: Simplify right side
    10,404.78x = 81,692,376.95
  5. Step 5: Solve for x
    x = 81,692,376.95/10,404.78
  6. Step 6: Final answer
    x = 7,851.43

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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.