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Finding the Fourth Proportional to 6,989.84, 10,487.12 and 3,294.88

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Solution

The fourth proportional to 6,989.84, 10,487.12 and 3,294.88 is: 4,943.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.84 : 10,487.12 = 3,294.88 : x
  2. Step 2: Convert to fraction form
    6,989.84/10,487.12 = 3,294.88/x
  3. Step 3: Cross multiply
    6,989.84x = 10,487.12 × 3,294.88
  4. Step 4: Simplify right side
    6,989.84x = 34,553,801.95
  5. Step 5: Solve for x
    x = 34,553,801.95/6,989.84
  6. Step 6: Final answer
    x = 4,943.43

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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.