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Finding the Fourth Proportional to 3,587.84, 5,381.84 and 990.88

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Solution

The fourth proportional to 3,587.84, 5,381.84 and 990.88 is: 1,486.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,587.84 : 5,381.84 = 990.88 : x
  2. Step 2: Convert to fraction form
    3,587.84/5,381.84 = 990.88/x
  3. Step 3: Cross multiply
    3,587.84x = 5,381.84 × 990.88
  4. Step 4: Simplify right side
    3,587.84x = 5,332,757.62
  5. Step 5: Solve for x
    x = 5,332,757.62/3,587.84
  6. Step 6: Final answer
    x = 1,486.34

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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.