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Finding the Fourth Proportional to 1,986.48, 2,980.05 and 754.47

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Solution

The fourth proportional to 1,986.48, 2,980.05 and 754.47 is: 1,131.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.48 : 2,980.05 = 754.47 : x
  2. Step 2: Convert to fraction form
    1,986.48/2,980.05 = 754.47/x
  3. Step 3: Cross multiply
    1,986.48x = 2,980.05 × 754.47
  4. Step 4: Simplify right side
    1,986.48x = 2,248,358.32
  5. Step 5: Solve for x
    x = 2,248,358.32/1,986.48
  6. Step 6: Final answer
    x = 1,131.83

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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.