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Finding the Fourth Proportional to 3,587, 5,379.84 and 989.60

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Solution

The fourth proportional to 3,587, 5,379.84 and 989.60 is: 1,484.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,587 : 5,379.84 = 989.60 : x
  2. Step 2: Convert to fraction form
    3,587/5,379.84 = 989.60/x
  3. Step 3: Cross multiply
    3,587x = 5,379.84 × 989.60
  4. Step 4: Simplify right side
    3,587x = 5,323,889.66
  5. Step 5: Solve for x
    x = 5,323,889.66/3,587
  6. Step 6: Final answer
    x = 1,484.22

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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.