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Finding the Fourth Proportional to 10,105.68, 13,948.44 and 9,109.20

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Solution

The fourth proportional to 10,105.68, 13,948.44 and 9,109.20 is: 12,573.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105.68 : 13,948.44 = 9,109.20 : x
  2. Step 2: Convert to fraction form
    10,105.68/13,948.44 = 9,109.20/x
  3. Step 3: Cross multiply
    10,105.68x = 13,948.44 × 9,109.20
  4. Step 4: Simplify right side
    10,105.68x = 127,059,129.65
  5. Step 5: Solve for x
    x = 127,059,129.65/10,105.68
  6. Step 6: Final answer
    x = 12,573.04

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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.