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Finding the Fourth Proportional to 31,812.88, 47,719.32 and 9,924.88

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Solution

The fourth proportional to 31,812.88, 47,719.32 and 9,924.88 is: 14,887.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,812.88 : 47,719.32 = 9,924.88 : x
  2. Step 2: Convert to fraction form
    31,812.88/47,719.32 = 9,924.88/x
  3. Step 3: Cross multiply
    31,812.88x = 47,719.32 × 9,924.88
  4. Step 4: Simplify right side
    31,812.88x = 473,608,524.68
  5. Step 5: Solve for x
    x = 473,608,524.68/31,812.88
  6. Step 6: Final answer
    x = 14,887.32

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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.