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Finding the Fourth Proportional to 41,143.84, 61,715.76 and 9,979.08

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Solution

The fourth proportional to 41,143.84, 61,715.76 and 9,979.08 is: 14,968.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,143.84 : 61,715.76 = 9,979.08 : x
  2. Step 2: Convert to fraction form
    41,143.84/61,715.76 = 9,979.08/x
  3. Step 3: Cross multiply
    41,143.84x = 61,715.76 × 9,979.08
  4. Step 4: Simplify right side
    41,143.84x = 615,866,506.30
  5. Step 5: Solve for x
    x = 615,866,506.30/41,143.84
  6. Step 6: Final answer
    x = 14,968.62

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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.