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Finding the Fourth Proportional to 7,878.08, 11,817.12 and 2,035.16

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Solution

The fourth proportional to 7,878.08, 11,817.12 and 2,035.16 is: 3,052.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.08 : 11,817.12 = 2,035.16 : x
  2. Step 2: Convert to fraction form
    7,878.08/11,817.12 = 2,035.16/x
  3. Step 3: Cross multiply
    7,878.08x = 11,817.12 × 2,035.16
  4. Step 4: Simplify right side
    7,878.08x = 24,049,729.94
  5. Step 5: Solve for x
    x = 24,049,729.94/7,878.08
  6. Step 6: Final answer
    x = 3,052.74

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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.