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Finding the Fourth Proportional to 31,542, 47,313 and 17,692.08

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Solution

The fourth proportional to 31,542, 47,313 and 17,692.08 is: 26,538.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,542 : 47,313 = 17,692.08 : x
  2. Step 2: Convert to fraction form
    31,542/47,313 = 17,692.08/x
  3. Step 3: Cross multiply
    31,542x = 47,313 × 17,692.08
  4. Step 4: Simplify right side
    31,542x = 837,065,381.04
  5. Step 5: Solve for x
    x = 837,065,381.04/31,542
  6. Step 6: Final answer
    x = 26,538.12

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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.