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Finding the Fourth Proportional to 31,505.44, 47,224.80 and 10,440

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Solution

The fourth proportional to 31,505.44, 47,224.80 and 10,440 is: 15,648.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,505.44 : 47,224.80 = 10,440 : x
  2. Step 2: Convert to fraction form
    31,505.44/47,224.80 = 10,440/x
  3. Step 3: Cross multiply
    31,505.44x = 47,224.80 × 10,440
  4. Step 4: Simplify right side
    31,505.44x = 493,026,912.00
  5. Step 5: Solve for x
    x = 493,026,912.00/31,505.44
  6. Step 6: Final answer
    x = 15,648.95

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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.