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Finding the Fourth Proportional to 1,965.38, 2,948.06 and 666.94

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Solution

The fourth proportional to 1,965.38, 2,948.06 and 666.94 is: 1,000.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.38 : 2,948.06 = 666.94 : x
  2. Step 2: Convert to fraction form
    1,965.38/2,948.06 = 666.94/x
  3. Step 3: Cross multiply
    1,965.38x = 2,948.06 × 666.94
  4. Step 4: Simplify right side
    1,965.38x = 1,966,179.14
  5. Step 5: Solve for x
    x = 1,966,179.14/1,965.38
  6. Step 6: Final answer
    x = 1,000.41

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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.