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Finding the Fourth Proportional to 2,589.89, 3,859.84 and 2,585.77

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Solution

The fourth proportional to 2,589.89, 3,859.84 and 2,585.77 is: 3,853.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.89 : 3,859.84 = 2,585.77 : x
  2. Step 2: Convert to fraction form
    2,589.89/3,859.84 = 2,585.77/x
  3. Step 3: Cross multiply
    2,589.89x = 3,859.84 × 2,585.77
  4. Step 4: Simplify right side
    2,589.89x = 9,980,658.48
  5. Step 5: Solve for x
    x = 9,980,658.48/2,589.89
  6. Step 6: Final answer
    x = 3,853.70

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.