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Finding the Fourth Proportional to 31,520, 43,497.60 and 17,373

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Solution

The fourth proportional to 31,520, 43,497.60 and 17,373 is: 23,974.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,520 : 43,497.60 = 17,373 : x
  2. Step 2: Convert to fraction form
    31,520/43,497.60 = 17,373/x
  3. Step 3: Cross multiply
    31,520x = 43,497.60 × 17,373
  4. Step 4: Simplify right side
    31,520x = 755,683,804.80
  5. Step 5: Solve for x
    x = 755,683,804.80/31,520
  6. Step 6: Final answer
    x = 23,974.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.