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Finding the Fourth Proportional to 2,530.55, 3,795.88 and 865.06

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Solution

The fourth proportional to 2,530.55, 3,795.88 and 865.06 is: 1,297.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.55 : 3,795.88 = 865.06 : x
  2. Step 2: Convert to fraction form
    2,530.55/3,795.88 = 865.06/x
  3. Step 3: Cross multiply
    2,530.55x = 3,795.88 × 865.06
  4. Step 4: Simplify right side
    2,530.55x = 3,283,666.53
  5. Step 5: Solve for x
    x = 3,283,666.53/2,530.55
  6. Step 6: Final answer
    x = 1,297.61

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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.