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Finding the Fourth Proportional to 1,978.11, 2,966.90 and 517.17

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Solution

The fourth proportional to 1,978.11, 2,966.90 and 517.17 is: 775.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.11 : 2,966.90 = 517.17 : x
  2. Step 2: Convert to fraction form
    1,978.11/2,966.90 = 517.17/x
  3. Step 3: Cross multiply
    1,978.11x = 2,966.90 × 517.17
  4. Step 4: Simplify right side
    1,978.11x = 1,534,389.09
  5. Step 5: Solve for x
    x = 1,534,389.09/1,978.11
  6. Step 6: Final answer
    x = 775.68

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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.