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Finding the Fourth Proportional to 12,853.55, 17,737.78 and 7,188.24

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Solution

The fourth proportional to 12,853.55, 17,737.78 and 7,188.24 is: 9,919.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853.55 : 17,737.78 = 7,188.24 : x
  2. Step 2: Convert to fraction form
    12,853.55/17,737.78 = 7,188.24/x
  3. Step 3: Cross multiply
    12,853.55x = 17,737.78 × 7,188.24
  4. Step 4: Simplify right side
    12,853.55x = 127,503,295.08
  5. Step 5: Solve for x
    x = 127,503,295.08/12,853.55
  6. Step 6: Final answer
    x = 9,919.69

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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.