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Finding the Fourth Proportional to 31,483.40, 47,191.80 and 10,418

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Solution

The fourth proportional to 31,483.40, 47,191.80 and 10,418 is: 15,615.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,483.40 : 47,191.80 = 10,418 : x
  2. Step 2: Convert to fraction form
    31,483.40/47,191.80 = 10,418/x
  3. Step 3: Cross multiply
    31,483.40x = 47,191.80 × 10,418
  4. Step 4: Simplify right side
    31,483.40x = 491,644,172.40
  5. Step 5: Solve for x
    x = 491,644,172.40/31,483.40
  6. Step 6: Final answer
    x = 15,615.98

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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.