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Finding the Fourth Proportional to 2,712.06, 4,066.28 and 980.46

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Solution

The fourth proportional to 2,712.06, 4,066.28 and 980.46 is: 1,470.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.06 : 4,066.28 = 980.46 : x
  2. Step 2: Convert to fraction form
    2,712.06/4,066.28 = 980.46/x
  3. Step 3: Cross multiply
    2,712.06x = 4,066.28 × 980.46
  4. Step 4: Simplify right side
    2,712.06x = 3,986,824.89
  5. Step 5: Solve for x
    x = 3,986,824.89/2,712.06
  6. Step 6: Final answer
    x = 1,470.04

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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.