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Finding the Fourth Proportional to 40,380, 60,572.43 and 12,678

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Solution

The fourth proportional to 40,380, 60,572.43 and 12,678 is: 19,017.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,380 : 60,572.43 = 12,678 : x
  2. Step 2: Convert to fraction form
    40,380/60,572.43 = 12,678/x
  3. Step 3: Cross multiply
    40,380x = 60,572.43 × 12,678
  4. Step 4: Simplify right side
    40,380x = 767,937,267.54
  5. Step 5: Solve for x
    x = 767,937,267.54/40,380
  6. Step 6: Final answer
    x = 19,017.76

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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.