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Finding the Fourth Proportional to 2,739.84, 4,105.71 and 1,278.60

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Solution

The fourth proportional to 2,739.84, 4,105.71 and 1,278.60 is: 1,916.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.84 : 4,105.71 = 1,278.60 : x
  2. Step 2: Convert to fraction form
    2,739.84/4,105.71 = 1,278.60/x
  3. Step 3: Cross multiply
    2,739.84x = 4,105.71 × 1,278.60
  4. Step 4: Simplify right side
    2,739.84x = 5,249,560.81
  5. Step 5: Solve for x
    x = 5,249,560.81/2,739.84
  6. Step 6: Final answer
    x = 1,916.01

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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.