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Finding the Fourth Proportional to 31,405.80, 47,108.70 and 13,909.80

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Solution

The fourth proportional to 31,405.80, 47,108.70 and 13,909.80 is: 20,864.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,405.80 : 47,108.70 = 13,909.80 : x
  2. Step 2: Convert to fraction form
    31,405.80/47,108.70 = 13,909.80/x
  3. Step 3: Cross multiply
    31,405.80x = 47,108.70 × 13,909.80
  4. Step 4: Simplify right side
    31,405.80x = 655,272,595.26
  5. Step 5: Solve for x
    x = 655,272,595.26/31,405.80
  6. Step 6: Final answer
    x = 20,864.70

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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.