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Finding the Fourth Proportional to 1,967.14, 2,948.89 and 667.70

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Solution

The fourth proportional to 1,967.14, 2,948.89 and 667.70 is: 1,000.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.14 : 2,948.89 = 667.70 : x
  2. Step 2: Convert to fraction form
    1,967.14/2,948.89 = 667.70/x
  3. Step 3: Cross multiply
    1,967.14x = 2,948.89 × 667.70
  4. Step 4: Simplify right side
    1,967.14x = 1,968,973.85
  5. Step 5: Solve for x
    x = 1,968,973.85/1,967.14
  6. Step 6: Final answer
    x = 1,000.93

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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.