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Finding the Fourth Proportional to 7,874, 10,866.14 and 4,337.54

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Solution

The fourth proportional to 7,874, 10,866.14 and 4,337.54 is: 5,985.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874 : 10,866.14 = 4,337.54 : x
  2. Step 2: Convert to fraction form
    7,874/10,866.14 = 4,337.54/x
  3. Step 3: Cross multiply
    7,874x = 10,866.14 × 4,337.54
  4. Step 4: Simplify right side
    7,874x = 47,132,316.90
  5. Step 5: Solve for x
    x = 47,132,316.90/7,874
  6. Step 6: Final answer
    x = 5,985.82

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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.