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Finding the Fourth Proportional to 2,918.71, 4,378.02 and 727.46

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Solution

The fourth proportional to 2,918.71, 4,378.02 and 727.46 is: 1,091.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,918.71 : 4,378.02 = 727.46 : x
  2. Step 2: Convert to fraction form
    2,918.71/4,378.02 = 727.46/x
  3. Step 3: Cross multiply
    2,918.71x = 4,378.02 × 727.46
  4. Step 4: Simplify right side
    2,918.71x = 3,184,820.05
  5. Step 5: Solve for x
    x = 3,184,820.05/2,918.71
  6. Step 6: Final answer
    x = 1,091.17

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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.