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Finding the Fourth Proportional to 2,980.52, 4,458.02 and 2,149.48

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Solution

The fourth proportional to 2,980.52, 4,458.02 and 2,149.48 is: 3,215.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.52 : 4,458.02 = 2,149.48 : x
  2. Step 2: Convert to fraction form
    2,980.52/4,458.02 = 2,149.48/x
  3. Step 3: Cross multiply
    2,980.52x = 4,458.02 × 2,149.48
  4. Step 4: Simplify right side
    2,980.52x = 9,582,424.83
  5. Step 5: Solve for x
    x = 9,582,424.83/2,980.52
  6. Step 6: Final answer
    x = 3,215.02

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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.