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Finding the Fourth Proportional to 3,407.70, 4,699.70 and 2,744.32

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Solution

The fourth proportional to 3,407.70, 4,699.70 and 2,744.32 is: 3,784.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.70 : 4,699.70 = 2,744.32 : x
  2. Step 2: Convert to fraction form
    3,407.70/4,699.70 = 2,744.32/x
  3. Step 3: Cross multiply
    3,407.70x = 4,699.70 × 2,744.32
  4. Step 4: Simplify right side
    3,407.70x = 12,897,480.70
  5. Step 5: Solve for x
    x = 12,897,480.70/3,407.70
  6. Step 6: Final answer
    x = 3,784.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.