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Finding the Fourth Proportional to 31,990.52, 47,985.77 and 16,398.20

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Solution

The fourth proportional to 31,990.52, 47,985.77 and 16,398.20 is: 24,597.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,990.52 : 47,985.77 = 16,398.20 : x
  2. Step 2: Convert to fraction form
    31,990.52/47,985.77 = 16,398.20/x
  3. Step 3: Cross multiply
    31,990.52x = 47,985.77 × 16,398.20
  4. Step 4: Simplify right side
    31,990.52x = 786,880,054.68
  5. Step 5: Solve for x
    x = 786,880,054.68/31,990.52
  6. Step 6: Final answer
    x = 24,597.29

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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.