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Finding the Fourth Proportional to 7,737.84, 11,618.60 and 6,821.12

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Solution

The fourth proportional to 7,737.84, 11,618.60 and 6,821.12 is: 10,242.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.84 : 11,618.60 = 6,821.12 : x
  2. Step 2: Convert to fraction form
    7,737.84/11,618.60 = 6,821.12/x
  3. Step 3: Cross multiply
    7,737.84x = 11,618.60 × 6,821.12
  4. Step 4: Simplify right side
    7,737.84x = 79,251,864.83
  5. Step 5: Solve for x
    x = 79,251,864.83/7,737.84
  6. Step 6: Final answer
    x = 10,242.12

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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.