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Finding the Fourth Proportional to 2,458.93, 3,687.60 and 815.10

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Solution

The fourth proportional to 2,458.93, 3,687.60 and 815.10 is: 1,222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.93 : 3,687.60 = 815.10 : x
  2. Step 2: Convert to fraction form
    2,458.93/3,687.60 = 815.10/x
  3. Step 3: Cross multiply
    2,458.93x = 3,687.60 × 815.10
  4. Step 4: Simplify right side
    2,458.93x = 3,005,762.76
  5. Step 5: Solve for x
    x = 3,005,762.76/2,458.93
  6. Step 6: Final answer
    x = 1,222.39

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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.