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Finding the Fourth Proportional to 12,531.86, 18,797.80 and 5,134.98

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Solution

The fourth proportional to 12,531.86, 18,797.80 and 5,134.98 is: 7,702.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,531.86 : 18,797.80 = 5,134.98 : x
  2. Step 2: Convert to fraction form
    12,531.86/18,797.80 = 5,134.98/x
  3. Step 3: Cross multiply
    12,531.86x = 18,797.80 × 5,134.98
  4. Step 4: Simplify right side
    12,531.86x = 96,526,327.04
  5. Step 5: Solve for x
    x = 96,526,327.04/12,531.86
  6. Step 6: Final answer
    x = 7,702.47

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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.