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Finding the Fourth Proportional to 2,124.75, 3,187.31 and 585.75

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Solution

The fourth proportional to 2,124.75, 3,187.31 and 585.75 is: 878.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.75 : 3,187.31 = 585.75 : x
  2. Step 2: Convert to fraction form
    2,124.75/3,187.31 = 585.75/x
  3. Step 3: Cross multiply
    2,124.75x = 3,187.31 × 585.75
  4. Step 4: Simplify right side
    2,124.75x = 1,866,963.90
  5. Step 5: Solve for x
    x = 1,866,963.90/2,124.75
  6. Step 6: Final answer
    x = 878.67

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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.