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Finding the Fourth Proportional to 7,874, 10,867.20 and 5,078.96

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Solution

The fourth proportional to 7,874, 10,867.20 and 5,078.96 is: 7,009.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874 : 10,867.20 = 5,078.96 : x
  2. Step 2: Convert to fraction form
    7,874/10,867.20 = 5,078.96/x
  3. Step 3: Cross multiply
    7,874x = 10,867.20 × 5,078.96
  4. Step 4: Simplify right side
    7,874x = 55,194,074.11
  5. Step 5: Solve for x
    x = 55,194,074.11/7,874
  6. Step 6: Final answer
    x = 7,009.66

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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.