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Finding the Fourth Proportional to 6,872.84, 10,309.16 and 1,678.76

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Solution

The fourth proportional to 6,872.84, 10,309.16 and 1,678.76 is: 2,518.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.84 : 10,309.16 = 1,678.76 : x
  2. Step 2: Convert to fraction form
    6,872.84/10,309.16 = 1,678.76/x
  3. Step 3: Cross multiply
    6,872.84x = 10,309.16 × 1,678.76
  4. Step 4: Simplify right side
    6,872.84x = 17,306,558.09
  5. Step 5: Solve for x
    x = 17,306,558.09/6,872.84
  6. Step 6: Final answer
    x = 2,518.11

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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.