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Finding the Fourth Proportional to 6,877.61, 9,494.85 and 5,185.65

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Solution

The fourth proportional to 6,877.61, 9,494.85 and 5,185.65 is: 7,159.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.61 : 9,494.85 = 5,185.65 : x
  2. Step 2: Convert to fraction form
    6,877.61/9,494.85 = 5,185.65/x
  3. Step 3: Cross multiply
    6,877.61x = 9,494.85 × 5,185.65
  4. Step 4: Simplify right side
    6,877.61x = 49,236,968.90
  5. Step 5: Solve for x
    x = 49,236,968.90/6,877.61
  6. Step 6: Final answer
    x = 7,159.02

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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.