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Finding the Fourth Proportional to 40,468, 60,712.80 and 12,766

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Solution

The fourth proportional to 40,468, 60,712.80 and 12,766 is: 19,152.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,468 : 60,712.80 = 12,766 : x
  2. Step 2: Convert to fraction form
    40,468/60,712.80 = 12,766/x
  3. Step 3: Cross multiply
    40,468x = 60,712.80 × 12,766
  4. Step 4: Simplify right side
    40,468x = 775,059,604.80
  5. Step 5: Solve for x
    x = 775,059,604.80/40,468
  6. Step 6: Final answer
    x = 19,152.41

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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.