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Finding the Fourth Proportional to 34,375, 47,437.50 and 19,471

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Solution

The fourth proportional to 34,375, 47,437.50 and 19,471 is: 26,869.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,375 : 47,437.50 = 19,471 : x
  2. Step 2: Convert to fraction form
    34,375/47,437.50 = 19,471/x
  3. Step 3: Cross multiply
    34,375x = 47,437.50 × 19,471
  4. Step 4: Simplify right side
    34,375x = 923,655,562.50
  5. Step 5: Solve for x
    x = 923,655,562.50/34,375
  6. Step 6: Final answer
    x = 26,869.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.