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Finding the Fourth Proportional to 3,481, 4,803.90 and 2,601.16

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Solution

The fourth proportional to 3,481, 4,803.90 and 2,601.16 is: 3,589.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481 : 4,803.90 = 2,601.16 : x
  2. Step 2: Convert to fraction form
    3,481/4,803.90 = 2,601.16/x
  3. Step 3: Cross multiply
    3,481x = 4,803.90 × 2,601.16
  4. Step 4: Simplify right side
    3,481x = 12,495,712.52
  5. Step 5: Solve for x
    x = 12,495,712.52/3,481
  6. Step 6: Final answer
    x = 3,589.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.