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Finding the Fourth Proportional to 2,542.19, 3,813.17 and 787.05

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Solution

The fourth proportional to 2,542.19, 3,813.17 and 787.05 is: 1,180.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.19 : 3,813.17 = 787.05 : x
  2. Step 2: Convert to fraction form
    2,542.19/3,813.17 = 787.05/x
  3. Step 3: Cross multiply
    2,542.19x = 3,813.17 × 787.05
  4. Step 4: Simplify right side
    2,542.19x = 3,001,151.51
  5. Step 5: Solve for x
    x = 3,001,151.51/2,542.19
  6. Step 6: Final answer
    x = 1,180.54

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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.