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Finding the Fourth Proportional to 6,494.55, 8,963.13 and 3,978.30

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Solution

The fourth proportional to 6,494.55, 8,963.13 and 3,978.30 is: 5,490.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.55 : 8,963.13 = 3,978.30 : x
  2. Step 2: Convert to fraction form
    6,494.55/8,963.13 = 3,978.30/x
  3. Step 3: Cross multiply
    6,494.55x = 8,963.13 × 3,978.30
  4. Step 4: Simplify right side
    6,494.55x = 35,658,020.08
  5. Step 5: Solve for x
    x = 35,658,020.08/6,494.55
  6. Step 6: Final answer
    x = 5,490.45

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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.