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Finding the Fourth Proportional to 12,543.12, 18,805.14 and 7,611.48

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Solution

The fourth proportional to 12,543.12, 18,805.14 and 7,611.48 is: 11,411.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,543.12 : 18,805.14 = 7,611.48 : x
  2. Step 2: Convert to fraction form
    12,543.12/18,805.14 = 7,611.48/x
  3. Step 3: Cross multiply
    12,543.12x = 18,805.14 × 7,611.48
  4. Step 4: Simplify right side
    12,543.12x = 143,134,947.01
  5. Step 5: Solve for x
    x = 143,134,947.01/12,543.12
  6. Step 6: Final answer
    x = 11,411.43

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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.