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Finding the Fourth Proportional to 12,951.52, 19,427.26 and 5,158.52

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Solution

The fourth proportional to 12,951.52, 19,427.26 and 5,158.52 is: 7,737.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,951.52 : 19,427.26 = 5,158.52 : x
  2. Step 2: Convert to fraction form
    12,951.52/19,427.26 = 5,158.52/x
  3. Step 3: Cross multiply
    12,951.52x = 19,427.26 × 5,158.52
  4. Step 4: Simplify right side
    12,951.52x = 100,215,909.26
  5. Step 5: Solve for x
    x = 100,215,909.26/12,951.52
  6. Step 6: Final answer
    x = 7,737.77

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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.