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Finding the Fourth Proportional to 2,459.13, 3,687.46 and 815.40

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Solution

The fourth proportional to 2,459.13, 3,687.46 and 815.40 is: 1,222.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.13 : 3,687.46 = 815.40 : x
  2. Step 2: Convert to fraction form
    2,459.13/3,687.46 = 815.40/x
  3. Step 3: Cross multiply
    2,459.13x = 3,687.46 × 815.40
  4. Step 4: Simplify right side
    2,459.13x = 3,006,752.85
  5. Step 5: Solve for x
    x = 3,006,752.85/2,459.13
  6. Step 6: Final answer
    x = 1,222.69

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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.