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Finding the Fourth Proportional to 2,948.67, 4,069.13 and 1,689.66

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Solution

The fourth proportional to 2,948.67, 4,069.13 and 1,689.66 is: 2,331.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.67 : 4,069.13 = 1,689.66 : x
  2. Step 2: Convert to fraction form
    2,948.67/4,069.13 = 1,689.66/x
  3. Step 3: Cross multiply
    2,948.67x = 4,069.13 × 1,689.66
  4. Step 4: Simplify right side
    2,948.67x = 6,875,437.75
  5. Step 5: Solve for x
    x = 6,875,437.75/2,948.67
  6. Step 6: Final answer
    x = 2,331.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.