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Finding the Fourth Proportional to 1,618.68, 2,431.67 and 969.87

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Solution

The fourth proportional to 1,618.68, 2,431.67 and 969.87 is: 1,456.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.68 : 2,431.67 = 969.87 : x
  2. Step 2: Convert to fraction form
    1,618.68/2,431.67 = 969.87/x
  3. Step 3: Cross multiply
    1,618.68x = 2,431.67 × 969.87
  4. Step 4: Simplify right side
    1,618.68x = 2,358,398.93
  5. Step 5: Solve for x
    x = 2,358,398.93/1,618.68
  6. Step 6: Final answer
    x = 1,456.99

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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.