Home / 2,742.48-4,107.82-1,569.19

Finding the Fourth Proportional to 2,742.48, 4,107.82 and 1,569.19

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Solution

The fourth proportional to 2,742.48, 4,107.82 and 1,569.19 is: 2,350.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.48 : 4,107.82 = 1,569.19 : x
  2. Step 2: Convert to fraction form
    2,742.48/4,107.82 = 1,569.19/x
  3. Step 3: Cross multiply
    2,742.48x = 4,107.82 × 1,569.19
  4. Step 4: Simplify right side
    2,742.48x = 6,445,935.87
  5. Step 5: Solve for x
    x = 6,445,935.87/2,742.48
  6. Step 6: Final answer
    x = 2,350.40

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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.