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Finding the Fourth Proportional to 31,804, 47,690.48 and 9,613.12

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Solution

The fourth proportional to 31,804, 47,690.48 and 9,613.12 is: 14,414.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,804 : 47,690.48 = 9,613.12 : x
  2. Step 2: Convert to fraction form
    31,804/47,690.48 = 9,613.12/x
  3. Step 3: Cross multiply
    31,804x = 47,690.48 × 9,613.12
  4. Step 4: Simplify right side
    31,804x = 458,454,307.10
  5. Step 5: Solve for x
    x = 458,454,307.10/31,804
  6. Step 6: Final answer
    x = 14,414.99

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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.