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Finding the Fourth Proportional to 3,873.76, 5,811.12 and 1,278.40

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Solution

The fourth proportional to 3,873.76, 5,811.12 and 1,278.40 is: 1,917.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.76 : 5,811.12 = 1,278.40 : x
  2. Step 2: Convert to fraction form
    3,873.76/5,811.12 = 1,278.40/x
  3. Step 3: Cross multiply
    3,873.76x = 5,811.12 × 1,278.40
  4. Step 4: Simplify right side
    3,873.76x = 7,428,935.81
  5. Step 5: Solve for x
    x = 7,428,935.81/3,873.76
  6. Step 6: Final answer
    x = 1,917.76

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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.