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Finding the Fourth Proportional to 2,127.64, 3,192.12 and 666.94

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Solution

The fourth proportional to 2,127.64, 3,192.12 and 666.94 is: 1,000.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.64 : 3,192.12 = 666.94 : x
  2. Step 2: Convert to fraction form
    2,127.64/3,192.12 = 666.94/x
  3. Step 3: Cross multiply
    2,127.64x = 3,192.12 × 666.94
  4. Step 4: Simplify right side
    2,127.64x = 2,128,952.51
  5. Step 5: Solve for x
    x = 2,128,952.51/2,127.64
  6. Step 6: Final answer
    x = 1,000.62

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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.