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Finding the Fourth Proportional to 2,597.06, 3,895.80 and 865.69

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Solution

The fourth proportional to 2,597.06, 3,895.80 and 865.69 is: 1,298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.06 : 3,895.80 = 865.69 : x
  2. Step 2: Convert to fraction form
    2,597.06/3,895.80 = 865.69/x
  3. Step 3: Cross multiply
    2,597.06x = 3,895.80 × 865.69
  4. Step 4: Simplify right side
    2,597.06x = 3,372,542.12
  5. Step 5: Solve for x
    x = 3,372,542.12/2,597.06
  6. Step 6: Final answer
    x = 1,298.60

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1.5x scale

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.