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Finding the Fourth Proportional to 6,988, 10,482 and 2,124

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Solution

The fourth proportional to 6,988, 10,482 and 2,124 is: 3,186

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988 : 10,482 = 2,124 : x
  2. Step 2: Convert to fraction form
    6,988/10,482 = 2,124/x
  3. Step 3: Cross multiply
    6,988x = 10,482 × 2,124
  4. Step 4: Simplify right side
    6,988x = 22,263,768
  5. Step 5: Solve for x
    x = 22,263,768/6,988
  6. Step 6: Final answer
    x = 3,186

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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.