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Finding the Fourth Proportional to 3,587.50, 5,381.26 and 990.64

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Solution

The fourth proportional to 3,587.50, 5,381.26 and 990.64 is: 1,485.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,587.50 : 5,381.26 = 990.64 : x
  2. Step 2: Convert to fraction form
    3,587.50/5,381.26 = 990.64/x
  3. Step 3: Cross multiply
    3,587.50x = 5,381.26 × 990.64
  4. Step 4: Simplify right side
    3,587.50x = 5,330,891.41
  5. Step 5: Solve for x
    x = 5,330,891.41/3,587.50
  6. Step 6: Final answer
    x = 1,485.96

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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.