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Finding the Fourth Proportional to 3,743.76, 5,615.04 and 1,278.48

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Solution

The fourth proportional to 3,743.76, 5,615.04 and 1,278.48 is: 1,917.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.76 : 5,615.04 = 1,278.48 : x
  2. Step 2: Convert to fraction form
    3,743.76/5,615.04 = 1,278.48/x
  3. Step 3: Cross multiply
    3,743.76x = 5,615.04 × 1,278.48
  4. Step 4: Simplify right side
    3,743.76x = 7,178,716.34
  5. Step 5: Solve for x
    x = 7,178,716.34/3,743.76
  6. Step 6: Final answer
    x = 1,917.52

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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.