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Finding the Fourth Proportional to 2,596.85, 3,894.08 and 841.53

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Solution

The fourth proportional to 2,596.85, 3,894.08 and 841.53 is: 1,261.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.85 : 3,894.08 = 841.53 : x
  2. Step 2: Convert to fraction form
    2,596.85/3,894.08 = 841.53/x
  3. Step 3: Cross multiply
    2,596.85x = 3,894.08 × 841.53
  4. Step 4: Simplify right side
    2,596.85x = 3,276,980.93
  5. Step 5: Solve for x
    x = 3,276,980.93/2,596.85
  6. Step 6: Final answer
    x = 1,261.91

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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.