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Finding the Fourth Proportional to 10,871.10, 15,200.10 and 10,871.10

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Solution

The fourth proportional to 10,871.10, 15,200.10 and 10,871.10 is: 15,200.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.10 : 15,200.10 = 10,871.10 : x
  2. Step 2: Convert to fraction form
    10,871.10/15,200.10 = 10,871.10/x
  3. Step 3: Cross multiply
    10,871.10x = 15,200.10 × 10,871.10
  4. Step 4: Simplify right side
    10,871.10x = 165,241,807.11
  5. Step 5: Solve for x
    x = 165,241,807.11/10,871.10
  6. Step 6: Final answer
    x = 15,200.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.