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Finding the Fourth Proportional to 2,596.90, 3,895.96 and 841.90

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Solution

The fourth proportional to 2,596.90, 3,895.96 and 841.90 is: 1,263.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.90 : 3,895.96 = 841.90 : x
  2. Step 2: Convert to fraction form
    2,596.90/3,895.96 = 841.90/x
  3. Step 3: Cross multiply
    2,596.90x = 3,895.96 × 841.90
  4. Step 4: Simplify right side
    2,596.90x = 3,280,008.72
  5. Step 5: Solve for x
    x = 3,280,008.72/2,596.90
  6. Step 6: Final answer
    x = 1,263.05

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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.