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Finding the Fourth Proportional to 31,459.20, 47,203.20 and 14,812.80

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Solution

The fourth proportional to 31,459.20, 47,203.20 and 14,812.80 is: 22,225.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,459.20 : 47,203.20 = 14,812.80 : x
  2. Step 2: Convert to fraction form
    31,459.20/47,203.20 = 14,812.80/x
  3. Step 3: Cross multiply
    31,459.20x = 47,203.20 × 14,812.80
  4. Step 4: Simplify right side
    31,459.20x = 699,211,560.96
  5. Step 5: Solve for x
    x = 699,211,560.96/31,459.20
  6. Step 6: Final answer
    x = 22,225.98

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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.