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Finding the Fourth Proportional to 10,610.78, 15,909.21 and 5,931.29

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Solution

The fourth proportional to 10,610.78, 15,909.21 and 5,931.29 is: 8,893.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.78 : 15,909.21 = 5,931.29 : x
  2. Step 2: Convert to fraction form
    10,610.78/15,909.21 = 5,931.29/x
  3. Step 3: Cross multiply
    10,610.78x = 15,909.21 × 5,931.29
  4. Step 4: Simplify right side
    10,610.78x = 94,362,058.63
  5. Step 5: Solve for x
    x = 94,362,058.63/10,610.78
  6. Step 6: Final answer
    x = 8,893.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.