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Finding the Fourth Proportional to 1,974.89, 2,962.47 and 742.01

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Solution

The fourth proportional to 1,974.89, 2,962.47 and 742.01 is: 1,113.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.89 : 2,962.47 = 742.01 : x
  2. Step 2: Convert to fraction form
    1,974.89/2,962.47 = 742.01/x
  3. Step 3: Cross multiply
    1,974.89x = 2,962.47 × 742.01
  4. Step 4: Simplify right side
    1,974.89x = 2,198,182.36
  5. Step 5: Solve for x
    x = 2,198,182.36/1,974.89
  6. Step 6: Final answer
    x = 1,113.07

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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.