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Finding the Fourth Proportional to 2,839.45, 4,259.19 and 865.10

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Solution

The fourth proportional to 2,839.45, 4,259.19 and 865.10 is: 1,297.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.45 : 4,259.19 = 865.10 : x
  2. Step 2: Convert to fraction form
    2,839.45/4,259.19 = 865.10/x
  3. Step 3: Cross multiply
    2,839.45x = 4,259.19 × 865.10
  4. Step 4: Simplify right side
    2,839.45x = 3,684,625.27
  5. Step 5: Solve for x
    x = 3,684,625.27/2,839.45
  6. Step 6: Final answer
    x = 1,297.65

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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.