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Finding the Fourth Proportional to 31,864.64, 47,798.17 and 11,879.10

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Solution

The fourth proportional to 31,864.64, 47,798.17 and 11,879.10 is: 17,819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,864.64 : 47,798.17 = 11,879.10 : x
  2. Step 2: Convert to fraction form
    31,864.64/47,798.17 = 11,879.10/x
  3. Step 3: Cross multiply
    31,864.64x = 47,798.17 × 11,879.10
  4. Step 4: Simplify right side
    31,864.64x = 567,799,241.25
  5. Step 5: Solve for x
    x = 567,799,241.25/31,864.64
  6. Step 6: Final answer
    x = 17,819.10

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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.