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Finding the Fourth Proportional to 2,635.94, 3,953.76 and 787.07

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Solution

The fourth proportional to 2,635.94, 3,953.76 and 787.07 is: 1,180.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.94 : 3,953.76 = 787.07 : x
  2. Step 2: Convert to fraction form
    2,635.94/3,953.76 = 787.07/x
  3. Step 3: Cross multiply
    2,635.94x = 3,953.76 × 787.07
  4. Step 4: Simplify right side
    2,635.94x = 3,111,866.11
  5. Step 5: Solve for x
    x = 3,111,866.11/2,635.94
  6. Step 6: Final answer
    x = 1,180.55

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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.