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Finding the Fourth Proportional to 11,059.20, 15,266.88 and 7,917.12

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Solution

The fourth proportional to 11,059.20, 15,266.88 and 7,917.12 is: 10,929.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,059.20 : 15,266.88 = 7,917.12 : x
  2. Step 2: Convert to fraction form
    11,059.20/15,266.88 = 7,917.12/x
  3. Step 3: Cross multiply
    11,059.20x = 15,266.88 × 7,917.12
  4. Step 4: Simplify right side
    11,059.20x = 120,869,720.99
  5. Step 5: Solve for x
    x = 120,869,720.99/11,059.20
  6. Step 6: Final answer
    x = 10,929.34

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1.5x scale

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.