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Finding the Fourth Proportional to 12,871.10, 19,312.19 and 4,979.15

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Solution

The fourth proportional to 12,871.10, 19,312.19 and 4,979.15 is: 7,470.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,871.10 : 19,312.19 = 4,979.15 : x
  2. Step 2: Convert to fraction form
    12,871.10/19,312.19 = 4,979.15/x
  3. Step 3: Cross multiply
    12,871.10x = 19,312.19 × 4,979.15
  4. Step 4: Simplify right side
    12,871.10x = 96,158,369.11
  5. Step 5: Solve for x
    x = 96,158,369.11/12,871.10
  6. Step 6: Final answer
    x = 7,470.87

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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.