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Finding the Fourth Proportional to 2,127.66, 3,191.82 and 666.46

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Solution

The fourth proportional to 2,127.66, 3,191.82 and 666.46 is: 999.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.66 : 3,191.82 = 666.46 : x
  2. Step 2: Convert to fraction form
    2,127.66/3,191.82 = 666.46/x
  3. Step 3: Cross multiply
    2,127.66x = 3,191.82 × 666.46
  4. Step 4: Simplify right side
    2,127.66x = 2,127,220.36
  5. Step 5: Solve for x
    x = 2,127,220.36/2,127.66
  6. Step 6: Final answer
    x = 999.79

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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.