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Finding the Fourth Proportional to 10,078.56, 13,919.04 and 8,979.12

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Solution

The fourth proportional to 10,078.56, 13,919.04 and 8,979.12 is: 12,400.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.56 : 13,919.04 = 8,979.12 : x
  2. Step 2: Convert to fraction form
    10,078.56/13,919.04 = 8,979.12/x
  3. Step 3: Cross multiply
    10,078.56x = 13,919.04 × 8,979.12
  4. Step 4: Simplify right side
    10,078.56x = 124,980,730.44
  5. Step 5: Solve for x
    x = 124,980,730.44/10,078.56
  6. Step 6: Final answer
    x = 12,400.65

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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.