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Finding the Fourth Proportional to 10,871.04, 15,002 and 5,903.04

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Solution

The fourth proportional to 10,871.04, 15,002 and 5,903.04 is: 8,146.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.04 : 15,002 = 5,903.04 : x
  2. Step 2: Convert to fraction form
    10,871.04/15,002 = 5,903.04/x
  3. Step 3: Cross multiply
    10,871.04x = 15,002 × 5,903.04
  4. Step 4: Simplify right side
    10,871.04x = 88,557,406.08
  5. Step 5: Solve for x
    x = 88,557,406.08/10,871.04
  6. Step 6: Final answer
    x = 8,146.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.