Home / 10,078.24-15,074.16-8,402.08

Finding the Fourth Proportional to 10,078.24, 15,074.16 and 8,402.08

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Solution

The fourth proportional to 10,078.24, 15,074.16 and 8,402.08 is: 12,567.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.24 : 15,074.16 = 8,402.08 : x
  2. Step 2: Convert to fraction form
    10,078.24/15,074.16 = 8,402.08/x
  3. Step 3: Cross multiply
    10,078.24x = 15,074.16 × 8,402.08
  4. Step 4: Simplify right side
    10,078.24x = 126,654,298.25
  5. Step 5: Solve for x
    x = 126,654,298.25/10,078.24
  6. Step 6: Final answer
    x = 12,567.10

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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.