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Finding the Fourth Proportional to 2,127.33, 3,191 and 666.48

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Solution

The fourth proportional to 2,127.33, 3,191 and 666.48 is: 999.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.33 : 3,191 = 666.48 : x
  2. Step 2: Convert to fraction form
    2,127.33/3,191 = 666.48/x
  3. Step 3: Cross multiply
    2,127.33x = 3,191 × 666.48
  4. Step 4: Simplify right side
    2,127.33x = 2,126,737.68
  5. Step 5: Solve for x
    x = 2,126,737.68/2,127.33
  6. Step 6: Final answer
    x = 999.72

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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.