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Finding the Fourth Proportional to 28,641.12, 42,951.36 and 9,916.08

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Solution

The fourth proportional to 28,641.12, 42,951.36 and 9,916.08 is: 14,870.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,641.12 : 42,951.36 = 9,916.08 : x
  2. Step 2: Convert to fraction form
    28,641.12/42,951.36 = 9,916.08/x
  3. Step 3: Cross multiply
    28,641.12x = 42,951.36 × 9,916.08
  4. Step 4: Simplify right side
    28,641.12x = 425,909,121.87
  5. Step 5: Solve for x
    x = 425,909,121.87/28,641.12
  6. Step 6: Final answer
    x = 14,870.55

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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.