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Finding the Fourth Proportional to 2,127.70, 3,191.08 and 666.66

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Solution

The fourth proportional to 2,127.70, 3,191.08 and 666.66 is: 999.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.70 : 3,191.08 = 666.66 : x
  2. Step 2: Convert to fraction form
    2,127.70/3,191.08 = 666.66/x
  3. Step 3: Cross multiply
    2,127.70x = 3,191.08 × 666.66
  4. Step 4: Simplify right side
    2,127.70x = 2,127,365.39
  5. Step 5: Solve for x
    x = 2,127,365.39/2,127.70
  6. Step 6: Final answer
    x = 999.84

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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.