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Finding the Fourth Proportional to 2,613.60, 3,920.40 and 1,576.80

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Solution

The fourth proportional to 2,613.60, 3,920.40 and 1,576.80 is: 2,365.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.60 : 3,920.40 = 1,576.80 : x
  2. Step 2: Convert to fraction form
    2,613.60/3,920.40 = 1,576.80/x
  3. Step 3: Cross multiply
    2,613.60x = 3,920.40 × 1,576.80
  4. Step 4: Simplify right side
    2,613.60x = 6,181,686.72
  5. Step 5: Solve for x
    x = 6,181,686.72/2,613.60
  6. Step 6: Final answer
    x = 2,365.20

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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.