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Finding the Fourth Proportional to 9,867.90, 14,787.87 and 8,695.42

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Solution

The fourth proportional to 9,867.90, 14,787.87 and 8,695.42 is: 13,030.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.90 : 14,787.87 = 8,695.42 : x
  2. Step 2: Convert to fraction form
    9,867.90/14,787.87 = 8,695.42/x
  3. Step 3: Cross multiply
    9,867.90x = 14,787.87 × 8,695.42
  4. Step 4: Simplify right side
    9,867.90x = 128,586,740.56
  5. Step 5: Solve for x
    x = 128,586,740.56/9,867.90
  6. Step 6: Final answer
    x = 13,030.81

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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.