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Finding the Fourth Proportional to 9,178.80, 13,737.62 and 6,975.20

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Solution

The fourth proportional to 9,178.80, 13,737.62 and 6,975.20 is: 10,439.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.80 : 13,737.62 = 6,975.20 : x
  2. Step 2: Convert to fraction form
    9,178.80/13,737.62 = 6,975.20/x
  3. Step 3: Cross multiply
    9,178.80x = 13,737.62 × 6,975.20
  4. Step 4: Simplify right side
    9,178.80x = 95,822,543.46
  5. Step 5: Solve for x
    x = 95,822,543.46/9,178.80
  6. Step 6: Final answer
    x = 10,439.55

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1.5x scale

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.