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Finding the Fourth Proportional to 31,996, 48,011.28 and 15,580

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Solution

The fourth proportional to 31,996, 48,011.28 and 15,580 is: 23,378.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,996 : 48,011.28 = 15,580 : x
  2. Step 2: Convert to fraction form
    31,996/48,011.28 = 15,580/x
  3. Step 3: Cross multiply
    31,996x = 48,011.28 × 15,580
  4. Step 4: Simplify right side
    31,996x = 748,015,742.40
  5. Step 5: Solve for x
    x = 748,015,742.40/31,996
  6. Step 6: Final answer
    x = 23,378.41

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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.