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Finding the Fourth Proportional to 31,805.67, 47,717.15 and 9,619.77

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Solution

The fourth proportional to 31,805.67, 47,717.15 and 9,619.77 is: 14,432.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,805.67 : 47,717.15 = 9,619.77 : x
  2. Step 2: Convert to fraction form
    31,805.67/47,717.15 = 9,619.77/x
  3. Step 3: Cross multiply
    31,805.67x = 47,717.15 × 9,619.77
  4. Step 4: Simplify right side
    31,805.67x = 459,027,959.96
  5. Step 5: Solve for x
    x = 459,027,959.96/31,805.67
  6. Step 6: Final answer
    x = 14,432.27

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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.