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Finding the Fourth Proportional to 31,537, 47,305.50 and 10,760.50

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Solution

The fourth proportional to 31,537, 47,305.50 and 10,760.50 is: 16,140.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,537 : 47,305.50 = 10,760.50 : x
  2. Step 2: Convert to fraction form
    31,537/47,305.50 = 10,760.50/x
  3. Step 3: Cross multiply
    31,537x = 47,305.50 × 10,760.50
  4. Step 4: Simplify right side
    31,537x = 509,030,832.75
  5. Step 5: Solve for x
    x = 509,030,832.75/31,537
  6. Step 6: Final answer
    x = 16,140.75

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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.