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Finding the Fourth Proportional to 9,995.40, 13,787.42 and 7,158.78

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Solution

The fourth proportional to 9,995.40, 13,787.42 and 7,158.78 is: 9,874.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,995.40 : 13,787.42 = 7,158.78 : x
  2. Step 2: Convert to fraction form
    9,995.40/13,787.42 = 7,158.78/x
  3. Step 3: Cross multiply
    9,995.40x = 13,787.42 × 7,158.78
  4. Step 4: Simplify right side
    9,995.40x = 98,701,070.75
  5. Step 5: Solve for x
    x = 98,701,070.75/9,995.40
  6. Step 6: Final answer
    x = 9,874.65

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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.