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Finding the Fourth Proportional to 11,176, 15,452 and 10,686.40

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Solution

The fourth proportional to 11,176, 15,452 and 10,686.40 is: 14,775.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,176 : 15,452 = 10,686.40 : x
  2. Step 2: Convert to fraction form
    11,176/15,452 = 10,686.40/x
  3. Step 3: Cross multiply
    11,176x = 15,452 × 10,686.40
  4. Step 4: Simplify right side
    11,176x = 165,126,252.80
  5. Step 5: Solve for x
    x = 165,126,252.80/11,176
  6. Step 6: Final answer
    x = 14,775.08

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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.