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Finding the Fourth Proportional to 2,031.26, 3,044.70 and 988.92

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Solution

The fourth proportional to 2,031.26, 3,044.70 and 988.92 is: 1,482.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.26 : 3,044.70 = 988.92 : x
  2. Step 2: Convert to fraction form
    2,031.26/3,044.70 = 988.92/x
  3. Step 3: Cross multiply
    2,031.26x = 3,044.70 × 988.92
  4. Step 4: Simplify right side
    2,031.26x = 3,010,964.72
  5. Step 5: Solve for x
    x = 3,010,964.72/2,031.26
  6. Step 6: Final answer
    x = 1,482.32

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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.