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Finding the Fourth Proportional to 1,318.74, 1,978.11 and 1,166.46

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Solution

The fourth proportional to 1,318.74, 1,978.11 and 1,166.46 is: 1,749.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.74 : 1,978.11 = 1,166.46 : x
  2. Step 2: Convert to fraction form
    1,318.74/1,978.11 = 1,166.46/x
  3. Step 3: Cross multiply
    1,318.74x = 1,978.11 × 1,166.46
  4. Step 4: Simplify right side
    1,318.74x = 2,307,386.19
  5. Step 5: Solve for x
    x = 2,307,386.19/1,318.74
  6. Step 6: Final answer
    x = 1,749.69

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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.