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Finding the Fourth Proportional to 2,127.64, 3,191.46 and 666.93

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Solution

The fourth proportional to 2,127.64, 3,191.46 and 666.93 is: 1,000.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.64 : 3,191.46 = 666.93 : x
  2. Step 2: Convert to fraction form
    2,127.64/3,191.46 = 666.93/x
  3. Step 3: Cross multiply
    2,127.64x = 3,191.46 × 666.93
  4. Step 4: Simplify right side
    2,127.64x = 2,128,480.42
  5. Step 5: Solve for x
    x = 2,128,480.42/2,127.64
  6. Step 6: Final answer
    x = 1,000.40

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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.