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Finding the Fourth Proportional to 10,774.76, 16,152.42 and 7,489.40

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Solution

The fourth proportional to 10,774.76, 16,152.42 and 7,489.40 is: 11,227.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.76 : 16,152.42 = 7,489.40 : x
  2. Step 2: Convert to fraction form
    10,774.76/16,152.42 = 7,489.40/x
  3. Step 3: Cross multiply
    10,774.76x = 16,152.42 × 7,489.40
  4. Step 4: Simplify right side
    10,774.76x = 120,971,934.35
  5. Step 5: Solve for x
    x = 120,971,934.35/10,774.76
  6. Step 6: Final answer
    x = 11,227.34

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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.