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Finding the Fourth Proportional to 2,714.80, 4,072.82 and 983.42

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Solution

The fourth proportional to 2,714.80, 4,072.82 and 983.42 is: 1,475.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.80 : 4,072.82 = 983.42 : x
  2. Step 2: Convert to fraction form
    2,714.80/4,072.82 = 983.42/x
  3. Step 3: Cross multiply
    2,714.80x = 4,072.82 × 983.42
  4. Step 4: Simplify right side
    2,714.80x = 4,005,292.64
  5. Step 5: Solve for x
    x = 4,005,292.64/2,714.80
  6. Step 6: Final answer
    x = 1,475.35

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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.