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Finding the Fourth Proportional to 6,468.53, 9,700.97 and 1,787.40

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Solution

The fourth proportional to 6,468.53, 9,700.97 and 1,787.40 is: 2,680.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.53 : 9,700.97 = 1,787.40 : x
  2. Step 2: Convert to fraction form
    6,468.53/9,700.97 = 1,787.40/x
  3. Step 3: Cross multiply
    6,468.53x = 9,700.97 × 1,787.40
  4. Step 4: Simplify right side
    6,468.53x = 17,339,504.84
  5. Step 5: Solve for x
    x = 17,339,504.84/6,468.53
  6. Step 6: Final answer
    x = 2,680.60

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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.