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Finding the Fourth Proportional to 2,126.57, 3,189.85 and 587.57

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Solution

The fourth proportional to 2,126.57, 3,189.85 and 587.57 is: 881.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.57 : 3,189.85 = 587.57 : x
  2. Step 2: Convert to fraction form
    2,126.57/3,189.85 = 587.57/x
  3. Step 3: Cross multiply
    2,126.57x = 3,189.85 × 587.57
  4. Step 4: Simplify right side
    2,126.57x = 1,874,248.47
  5. Step 5: Solve for x
    x = 1,874,248.47/2,126.57
  6. Step 6: Final answer
    x = 881.35

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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.