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Finding the Fourth Proportional to 2,829.66, 4,244.48 and 980.76

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Solution

The fourth proportional to 2,829.66, 4,244.48 and 980.76 is: 1,471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.66 : 4,244.48 = 980.76 : x
  2. Step 2: Convert to fraction form
    2,829.66/4,244.48 = 980.76/x
  3. Step 3: Cross multiply
    2,829.66x = 4,244.48 × 980.76
  4. Step 4: Simplify right side
    2,829.66x = 4,162,816.20
  5. Step 5: Solve for x
    x = 4,162,816.20/2,829.66
  6. Step 6: Final answer
    x = 1,471.14

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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.