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Finding the Fourth Proportional to 31,355.70, 47,033.28 and 7,982.10

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Solution

The fourth proportional to 31,355.70, 47,033.28 and 7,982.10 is: 11,973.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,355.70 : 47,033.28 = 7,982.10 : x
  2. Step 2: Convert to fraction form
    31,355.70/47,033.28 = 7,982.10/x
  3. Step 3: Cross multiply
    31,355.70x = 47,033.28 × 7,982.10
  4. Step 4: Simplify right side
    31,355.70x = 375,424,344.29
  5. Step 5: Solve for x
    x = 375,424,344.29/31,355.70
  6. Step 6: Final answer
    x = 11,973.08

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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.