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Finding the Fourth Proportional to 6,871.68, 10,298.39 and 6,089.85

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Solution

The fourth proportional to 6,871.68, 10,298.39 and 6,089.85 is: 9,126.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.68 : 10,298.39 = 6,089.85 : x
  2. Step 2: Convert to fraction form
    6,871.68/10,298.39 = 6,089.85/x
  3. Step 3: Cross multiply
    6,871.68x = 10,298.39 × 6,089.85
  4. Step 4: Simplify right side
    6,871.68x = 62,715,619.89
  5. Step 5: Solve for x
    x = 62,715,619.89/6,871.68
  6. Step 6: Final answer
    x = 9,126.68

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1.5x scale

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.