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Finding the Fourth Proportional to 1,376.88, 1,900.14 and 787.20

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Solution

The fourth proportional to 1,376.88, 1,900.14 and 787.20 is: 1,086.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.88 : 1,900.14 = 787.20 : x
  2. Step 2: Convert to fraction form
    1,376.88/1,900.14 = 787.20/x
  3. Step 3: Cross multiply
    1,376.88x = 1,900.14 × 787.20
  4. Step 4: Simplify right side
    1,376.88x = 1,495,790.21
  5. Step 5: Solve for x
    x = 1,495,790.21/1,376.88
  6. Step 6: Final answer
    x = 1,086.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.