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Finding the Fourth Proportional to 6,878.70, 10,305.90 and 6,101.10

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Solution

The fourth proportional to 6,878.70, 10,305.90 and 6,101.10 is: 9,140.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.70 : 10,305.90 = 6,101.10 : x
  2. Step 2: Convert to fraction form
    6,878.70/10,305.90 = 6,101.10/x
  3. Step 3: Cross multiply
    6,878.70x = 10,305.90 × 6,101.10
  4. Step 4: Simplify right side
    6,878.70x = 62,877,326.49
  5. Step 5: Solve for x
    x = 62,877,326.49/6,878.70
  6. Step 6: Final answer
    x = 9,140.87

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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.