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Finding the Fourth Proportional to 2,980.76, 4,471.12 and 1,032.92

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Solution

The fourth proportional to 2,980.76, 4,471.12 and 1,032.92 is: 1,549.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.76 : 4,471.12 = 1,032.92 : x
  2. Step 2: Convert to fraction form
    2,980.76/4,471.12 = 1,032.92/x
  3. Step 3: Cross multiply
    2,980.76x = 4,471.12 × 1,032.92
  4. Step 4: Simplify right side
    2,980.76x = 4,618,309.27
  5. Step 5: Solve for x
    x = 4,618,309.27/2,980.76
  6. Step 6: Final answer
    x = 1,549.37

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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.