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Finding the Fourth Proportional to 1,774.68, 2,658.50 and 1,382.79

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Solution

The fourth proportional to 1,774.68, 2,658.50 and 1,382.79 is: 2,071.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.68 : 2,658.50 = 1,382.79 : x
  2. Step 2: Convert to fraction form
    1,774.68/2,658.50 = 1,382.79/x
  3. Step 3: Cross multiply
    1,774.68x = 2,658.50 × 1,382.79
  4. Step 4: Simplify right side
    1,774.68x = 3,676,148.28
  5. Step 5: Solve for x
    x = 3,676,148.28/1,774.68
  6. Step 6: Final answer
    x = 2,071.45

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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.