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Finding the Fourth Proportional to 5,644.60, 8,456.10 and 5,255.80

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Solution

The fourth proportional to 5,644.60, 8,456.10 and 5,255.80 is: 7,873.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.60 : 8,456.10 = 5,255.80 : x
  2. Step 2: Convert to fraction form
    5,644.60/8,456.10 = 5,255.80/x
  3. Step 3: Cross multiply
    5,644.60x = 8,456.10 × 5,255.80
  4. Step 4: Simplify right side
    5,644.60x = 44,443,570.38
  5. Step 5: Solve for x
    x = 44,443,570.38/5,644.60
  6. Step 6: Final answer
    x = 7,873.64

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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.