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Finding the Fourth Proportional to 31,549.98, 47,354.13 and 15,978.54

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Solution

The fourth proportional to 31,549.98, 47,354.13 and 15,978.54 is: 23,982.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,549.98 : 47,354.13 = 15,978.54 : x
  2. Step 2: Convert to fraction form
    31,549.98/47,354.13 = 15,978.54/x
  3. Step 3: Cross multiply
    31,549.98x = 47,354.13 × 15,978.54
  4. Step 4: Simplify right side
    31,549.98x = 756,649,860.37
  5. Step 5: Solve for x
    x = 756,649,860.37/31,549.98
  6. Step 6: Final answer
    x = 23,982.58

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1.5x scale

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.