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Finding the Fourth Proportional to 18,787.76, 28,185.74 and 5,641.16

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Solution

The fourth proportional to 18,787.76, 28,185.74 and 5,641.16 is: 8,462.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,787.76 : 28,185.74 = 5,641.16 : x
  2. Step 2: Convert to fraction form
    18,787.76/28,185.74 = 5,641.16/x
  3. Step 3: Cross multiply
    18,787.76x = 28,185.74 × 5,641.16
  4. Step 4: Simplify right side
    18,787.76x = 159,000,353.63
  5. Step 5: Solve for x
    x = 159,000,353.63/18,787.76
  6. Step 6: Final answer
    x = 8,462.97

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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.