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Finding the Fourth Proportional to 7,015.68, 9,682.08 and 3,872.16

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Solution

The fourth proportional to 7,015.68, 9,682.08 and 3,872.16 is: 5,343.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,015.68 : 9,682.08 = 3,872.16 : x
  2. Step 2: Convert to fraction form
    7,015.68/9,682.08 = 3,872.16/x
  3. Step 3: Cross multiply
    7,015.68x = 9,682.08 × 3,872.16
  4. Step 4: Simplify right side
    7,015.68x = 37,490,562.89
  5. Step 5: Solve for x
    x = 37,490,562.89/7,015.68
  6. Step 6: Final answer
    x = 5,343.82

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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.