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Finding the Fourth Proportional to 3,584.71, 5,377.34 and 987.63

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Solution

The fourth proportional to 3,584.71, 5,377.34 and 987.63 is: 1,481.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.71 : 5,377.34 = 987.63 : x
  2. Step 2: Convert to fraction form
    3,584.71/5,377.34 = 987.63/x
  3. Step 3: Cross multiply
    3,584.71x = 5,377.34 × 987.63
  4. Step 4: Simplify right side
    3,584.71x = 5,310,822.30
  5. Step 5: Solve for x
    x = 5,310,822.30/3,584.71
  6. Step 6: Final answer
    x = 1,481.52

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Double scale
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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.