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Finding the Fourth Proportional to 2,690.65, 4,035.95 and 841.78

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Solution

The fourth proportional to 2,690.65, 4,035.95 and 841.78 is: 1,262.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.65 : 4,035.95 = 841.78 : x
  2. Step 2: Convert to fraction form
    2,690.65/4,035.95 = 841.78/x
  3. Step 3: Cross multiply
    2,690.65x = 4,035.95 × 841.78
  4. Step 4: Simplify right side
    2,690.65x = 3,397,381.99
  5. Step 5: Solve for x
    x = 3,397,381.99/2,690.65
  6. Step 6: Final answer
    x = 1,262.66

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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.