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Finding the Fourth Proportional to 1,318.59, 1,974.47 and 1,279.67

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Solution

The fourth proportional to 1,318.59, 1,974.47 and 1,279.67 is: 1,916.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.59 : 1,974.47 = 1,279.67 : x
  2. Step 2: Convert to fraction form
    1,318.59/1,974.47 = 1,279.67/x
  3. Step 3: Cross multiply
    1,318.59x = 1,974.47 × 1,279.67
  4. Step 4: Simplify right side
    1,318.59x = 2,526,653.75
  5. Step 5: Solve for x
    x = 2,526,653.75/1,318.59
  6. Step 6: Final answer
    x = 1,916.18

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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.