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Finding the Fourth Proportional to 2,574.20, 3,613.60 and 2,574.20

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Solution

The fourth proportional to 2,574.20, 3,613.60 and 2,574.20 is: 3,613.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.20 : 3,613.60 = 2,574.20 : x
  2. Step 2: Convert to fraction form
    2,574.20/3,613.60 = 2,574.20/x
  3. Step 3: Cross multiply
    2,574.20x = 3,613.60 × 2,574.20
  4. Step 4: Simplify right side
    2,574.20x = 9,302,129.12
  5. Step 5: Solve for x
    x = 9,302,129.12/2,574.20
  6. Step 6: Final answer
    x = 3,613.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.