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Finding the Fourth Proportional to 47,340, 71,010.54 and 12,277.53

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Solution

The fourth proportional to 47,340, 71,010.54 and 12,277.53 is: 18,416.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,340 : 71,010.54 = 12,277.53 : x
  2. Step 2: Convert to fraction form
    47,340/71,010.54 = 12,277.53/x
  3. Step 3: Cross multiply
    47,340x = 71,010.54 × 12,277.53
  4. Step 4: Simplify right side
    47,340x = 871,834,035.17
  5. Step 5: Solve for x
    x = 871,834,035.17/47,340
  6. Step 6: Final answer
    x = 18,416.44

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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.