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Finding the Fourth Proportional to 2,829.62, 4,243.57 and 980.31

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Solution

The fourth proportional to 2,829.62, 4,243.57 and 980.31 is: 1,470.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.62 : 4,243.57 = 980.31 : x
  2. Step 2: Convert to fraction form
    2,829.62/4,243.57 = 980.31/x
  3. Step 3: Cross multiply
    2,829.62x = 4,243.57 × 980.31
  4. Step 4: Simplify right side
    2,829.62x = 4,159,995.93
  5. Step 5: Solve for x
    x = 4,159,995.93/2,829.62
  6. Step 6: Final answer
    x = 1,470.16

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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.