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Finding the Fourth Proportional to 7,872.80, 10,870.82 and 5,360.20

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Solution

The fourth proportional to 7,872.80, 10,870.82 and 5,360.20 is: 7,401.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.80 : 10,870.82 = 5,360.20 : x
  2. Step 2: Convert to fraction form
    7,872.80/10,870.82 = 5,360.20/x
  3. Step 3: Cross multiply
    7,872.80x = 10,870.82 × 5,360.20
  4. Step 4: Simplify right side
    7,872.80x = 58,269,769.36
  5. Step 5: Solve for x
    x = 58,269,769.36/7,872.80
  6. Step 6: Final answer
    x = 7,401.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.