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Finding the Fourth Proportional to 2,590.84, 3,885.42 and 859

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Solution

The fourth proportional to 2,590.84, 3,885.42 and 859 is: 1,288.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.84 : 3,885.42 = 859 : x
  2. Step 2: Convert to fraction form
    2,590.84/3,885.42 = 859/x
  3. Step 3: Cross multiply
    2,590.84x = 3,885.42 × 859
  4. Step 4: Simplify right side
    2,590.84x = 3,337,575.78
  5. Step 5: Solve for x
    x = 3,337,575.78/2,590.84
  6. Step 6: Final answer
    x = 1,288.22

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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.