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Finding the Fourth Proportional to 8,737.88, 12,056.38 and 5,200.40

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Solution

The fourth proportional to 8,737.88, 12,056.38 and 5,200.40 is: 7,175.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,737.88 : 12,056.38 = 5,200.40 : x
  2. Step 2: Convert to fraction form
    8,737.88/12,056.38 = 5,200.40/x
  3. Step 3: Cross multiply
    8,737.88x = 12,056.38 × 5,200.40
  4. Step 4: Simplify right side
    8,737.88x = 62,697,998.55
  5. Step 5: Solve for x
    x = 62,697,998.55/8,737.88
  6. Step 6: Final answer
    x = 7,175.42

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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.