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Finding the Fourth Proportional to 31,536, 47,304 and 10,759.50

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Solution

The fourth proportional to 31,536, 47,304 and 10,759.50 is: 16,139.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,536 : 47,304 = 10,759.50 : x
  2. Step 2: Convert to fraction form
    31,536/47,304 = 10,759.50/x
  3. Step 3: Cross multiply
    31,536x = 47,304 × 10,759.50
  4. Step 4: Simplify right side
    31,536x = 508,967,388
  5. Step 5: Solve for x
    x = 508,967,388/31,536
  6. Step 6: Final answer
    x = 16,139.25

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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.