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Finding the Fourth Proportional to 10,871.04, 16,305.12 and 3,080.40

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Solution

The fourth proportional to 10,871.04, 16,305.12 and 3,080.40 is: 4,620.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.04 : 16,305.12 = 3,080.40 : x
  2. Step 2: Convert to fraction form
    10,871.04/16,305.12 = 3,080.40/x
  3. Step 3: Cross multiply
    10,871.04x = 16,305.12 × 3,080.40
  4. Step 4: Simplify right side
    10,871.04x = 50,226,291.65
  5. Step 5: Solve for x
    x = 50,226,291.65/10,871.04
  6. Step 6: Final answer
    x = 4,620.19

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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.