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Finding the Fourth Proportional to 3,165.36, 4,749.11 and 1,781.40

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Solution

The fourth proportional to 3,165.36, 4,749.11 and 1,781.40 is: 2,672.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.36 : 4,749.11 = 1,781.40 : x
  2. Step 2: Convert to fraction form
    3,165.36/4,749.11 = 1,781.40/x
  3. Step 3: Cross multiply
    3,165.36x = 4,749.11 × 1,781.40
  4. Step 4: Simplify right side
    3,165.36x = 8,460,064.55
  5. Step 5: Solve for x
    x = 8,460,064.55/3,165.36
  6. Step 6: Final answer
    x = 2,672.70

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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.