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Finding the Fourth Proportional to 2,829.30, 4,244.49 and 979.98

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Solution

The fourth proportional to 2,829.30, 4,244.49 and 979.98 is: 1,470.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.30 : 4,244.49 = 979.98 : x
  2. Step 2: Convert to fraction form
    2,829.30/4,244.49 = 979.98/x
  3. Step 3: Cross multiply
    2,829.30x = 4,244.49 × 979.98
  4. Step 4: Simplify right side
    2,829.30x = 4,159,515.31
  5. Step 5: Solve for x
    x = 4,159,515.31/2,829.30
  6. Step 6: Final answer
    x = 1,470.16

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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.