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Finding the Fourth Proportional to 3,531.79, 5,297.72 and 899.30

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Solution

The fourth proportional to 3,531.79, 5,297.72 and 899.30 is: 1,348.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.79 : 5,297.72 = 899.30 : x
  2. Step 2: Convert to fraction form
    3,531.79/5,297.72 = 899.30/x
  3. Step 3: Cross multiply
    3,531.79x = 5,297.72 × 899.30
  4. Step 4: Simplify right side
    3,531.79x = 4,764,239.60
  5. Step 5: Solve for x
    x = 4,764,239.60/3,531.79
  6. Step 6: Final answer
    x = 1,348.96

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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.