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Finding the Fourth Proportional to 6,787.80, 10,181.70 and 6,643.80

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Solution

The fourth proportional to 6,787.80, 10,181.70 and 6,643.80 is: 9,965.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787.80 : 10,181.70 = 6,643.80 : x
  2. Step 2: Convert to fraction form
    6,787.80/10,181.70 = 6,643.80/x
  3. Step 3: Cross multiply
    6,787.80x = 10,181.70 × 6,643.80
  4. Step 4: Simplify right side
    6,787.80x = 67,645,178.46
  5. Step 5: Solve for x
    x = 67,645,178.46/6,787.80
  6. Step 6: Final answer
    x = 9,965.70

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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.