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Finding the Fourth Proportional to 2,749.40, 4,122.02 and 899.40

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Solution

The fourth proportional to 2,749.40, 4,122.02 and 899.40 is: 1,348.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.40 : 4,122.02 = 899.40 : x
  2. Step 2: Convert to fraction form
    2,749.40/4,122.02 = 899.40/x
  3. Step 3: Cross multiply
    2,749.40x = 4,122.02 × 899.40
  4. Step 4: Simplify right side
    2,749.40x = 3,707,344.79
  5. Step 5: Solve for x
    x = 3,707,344.79/2,749.40
  6. Step 6: Final answer
    x = 1,348.42

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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.