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Finding the Fourth Proportional to 10,078.42, 13,894.86 and 8,279.14

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Solution

The fourth proportional to 10,078.42, 13,894.86 and 8,279.14 is: 11,414.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.42 : 13,894.86 = 8,279.14 : x
  2. Step 2: Convert to fraction form
    10,078.42/13,894.86 = 8,279.14/x
  3. Step 3: Cross multiply
    10,078.42x = 13,894.86 × 8,279.14
  4. Step 4: Simplify right side
    10,078.42x = 115,037,491.22
  5. Step 5: Solve for x
    x = 115,037,491.22/10,078.42
  6. Step 6: Final answer
    x = 11,414.24

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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.