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Finding the Fourth Proportional to 31,907.97, 47,861.97 and 14,357.30

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Solution

The fourth proportional to 31,907.97, 47,861.97 and 14,357.30 is: 21,535.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,907.97 : 47,861.97 = 14,357.30 : x
  2. Step 2: Convert to fraction form
    31,907.97/47,861.97 = 14,357.30/x
  3. Step 3: Cross multiply
    31,907.97x = 47,861.97 × 14,357.30
  4. Step 4: Simplify right side
    31,907.97x = 687,168,542.23
  5. Step 5: Solve for x
    x = 687,168,542.23/31,907.97
  6. Step 6: Final answer
    x = 21,535.95

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1.5x scale

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.