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Finding the Fourth Proportional to 6,984.84, 10,463.92 and 6,688.40

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Solution

The fourth proportional to 6,984.84, 10,463.92 and 6,688.40 is: 10,019.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.84 : 10,463.92 = 6,688.40 : x
  2. Step 2: Convert to fraction form
    6,984.84/10,463.92 = 6,688.40/x
  3. Step 3: Cross multiply
    6,984.84x = 10,463.92 × 6,688.40
  4. Step 4: Simplify right side
    6,984.84x = 69,986,882.53
  5. Step 5: Solve for x
    x = 69,986,882.53/6,984.84
  6. Step 6: Final answer
    x = 10,019.83

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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.