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Finding the Fourth Proportional to 3,584.57, 5,376.99 and 987.50

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Solution

The fourth proportional to 3,584.57, 5,376.99 and 987.50 is: 1,481.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.57 : 5,376.99 = 987.50 : x
  2. Step 2: Convert to fraction form
    3,584.57/5,376.99 = 987.50/x
  3. Step 3: Cross multiply
    3,584.57x = 5,376.99 × 987.50
  4. Step 4: Simplify right side
    3,584.57x = 5,309,750.74
  5. Step 5: Solve for x
    x = 5,309,750.74/3,584.57
  6. Step 6: Final answer
    x = 1,481.28

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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.