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Finding the Fourth Proportional to 2,690.61, 4,035.95 and 841.65

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Solution

The fourth proportional to 2,690.61, 4,035.95 and 841.65 is: 1,262.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.61 : 4,035.95 = 841.65 : x
  2. Step 2: Convert to fraction form
    2,690.61/4,035.95 = 841.65/x
  3. Step 3: Cross multiply
    2,690.61x = 4,035.95 × 841.65
  4. Step 4: Simplify right side
    2,690.61x = 3,396,853.11
  5. Step 5: Solve for x
    x = 3,396,853.11/2,690.61
  6. Step 6: Final answer
    x = 1,262.48

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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.