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Finding the Fourth Proportional to 2,891.68, 4,335.12 and 1,660

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Solution

The fourth proportional to 2,891.68, 4,335.12 and 1,660 is: 2,488.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.68 : 4,335.12 = 1,660 : x
  2. Step 2: Convert to fraction form
    2,891.68/4,335.12 = 1,660/x
  3. Step 3: Cross multiply
    2,891.68x = 4,335.12 × 1,660
  4. Step 4: Simplify right side
    2,891.68x = 7,196,299.20
  5. Step 5: Solve for x
    x = 7,196,299.20/2,891.68
  6. Step 6: Final answer
    x = 2,488.62

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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.