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Finding the Fourth Proportional to 31,899.60, 47,859.60 and 9,717.20

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Solution

The fourth proportional to 31,899.60, 47,859.60 and 9,717.20 is: 14,578.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,899.60 : 47,859.60 = 9,717.20 : x
  2. Step 2: Convert to fraction form
    31,899.60/47,859.60 = 9,717.20/x
  3. Step 3: Cross multiply
    31,899.60x = 47,859.60 × 9,717.20
  4. Step 4: Simplify right side
    31,899.60x = 465,061,305.12
  5. Step 5: Solve for x
    x = 465,061,305.12/31,899.60
  6. Step 6: Final answer
    x = 14,578.91

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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.