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Finding the Fourth Proportional to 7,872.64, 11,808.08 and 2,678.32

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Solution

The fourth proportional to 7,872.64, 11,808.08 and 2,678.32 is: 4,017.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.64 : 11,808.08 = 2,678.32 : x
  2. Step 2: Convert to fraction form
    7,872.64/11,808.08 = 2,678.32/x
  3. Step 3: Cross multiply
    7,872.64x = 11,808.08 × 2,678.32
  4. Step 4: Simplify right side
    7,872.64x = 31,625,816.83
  5. Step 5: Solve for x
    x = 31,625,816.83/7,872.64
  6. Step 6: Final answer
    x = 4,017.18

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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.