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Finding the Fourth Proportional to 11,442, 15,787.87 and 6,406.30

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Solution

The fourth proportional to 11,442, 15,787.87 and 6,406.30 is: 8,839.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442 : 15,787.87 = 6,406.30 : x
  2. Step 2: Convert to fraction form
    11,442/15,787.87 = 6,406.30/x
  3. Step 3: Cross multiply
    11,442x = 15,787.87 × 6,406.30
  4. Step 4: Simplify right side
    11,442x = 101,141,831.58
  5. Step 5: Solve for x
    x = 101,141,831.58/11,442
  6. Step 6: Final answer
    x = 8,839.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.