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Finding the Fourth Proportional to 1,999.76, 3,001.56 and 974.48

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Solution

The fourth proportional to 1,999.76, 3,001.56 and 974.48 is: 1,462.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.76 : 3,001.56 = 974.48 : x
  2. Step 2: Convert to fraction form
    1,999.76/3,001.56 = 974.48/x
  3. Step 3: Cross multiply
    1,999.76x = 3,001.56 × 974.48
  4. Step 4: Simplify right side
    1,999.76x = 2,924,960.19
  5. Step 5: Solve for x
    x = 2,924,960.19/1,999.76
  6. Step 6: Final answer
    x = 1,462.66

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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.