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Finding the Fourth Proportional to 12,468, 18,702 and 7,543.20

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Solution

The fourth proportional to 12,468, 18,702 and 7,543.20 is: 11,314.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468 : 18,702 = 7,543.20 : x
  2. Step 2: Convert to fraction form
    12,468/18,702 = 7,543.20/x
  3. Step 3: Cross multiply
    12,468x = 18,702 × 7,543.20
  4. Step 4: Simplify right side
    12,468x = 141,072,926.40
  5. Step 5: Solve for x
    x = 141,072,926.40/12,468
  6. Step 6: Final answer
    x = 11,314.80

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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.