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Finding the Fourth Proportional to 1,787.62, 2,468.02 and 1,416.10

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Solution

The fourth proportional to 1,787.62, 2,468.02 and 1,416.10 is: 1,955.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.62 : 2,468.02 = 1,416.10 : x
  2. Step 2: Convert to fraction form
    1,787.62/2,468.02 = 1,416.10/x
  3. Step 3: Cross multiply
    1,787.62x = 2,468.02 × 1,416.10
  4. Step 4: Simplify right side
    1,787.62x = 3,494,963.12
  5. Step 5: Solve for x
    x = 3,494,963.12/1,787.62
  6. Step 6: Final answer
    x = 1,955.09

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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.