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Finding the Fourth Proportional to 31,999.40, 47,999.10 and 16,407.08

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Solution

The fourth proportional to 31,999.40, 47,999.10 and 16,407.08 is: 24,610.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,999.40 : 47,999.10 = 16,407.08 : x
  2. Step 2: Convert to fraction form
    31,999.40/47,999.10 = 16,407.08/x
  3. Step 3: Cross multiply
    31,999.40x = 47,999.10 × 16,407.08
  4. Step 4: Simplify right side
    31,999.40x = 787,525,073.63
  5. Step 5: Solve for x
    x = 787,525,073.63/31,999.40
  6. Step 6: Final answer
    x = 24,610.62

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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.