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Finding the Fourth Proportional to 7,878.90, 11,808.96 and 5,494.10

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Solution

The fourth proportional to 7,878.90, 11,808.96 and 5,494.10 is: 8,234.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.90 : 11,808.96 = 5,494.10 : x
  2. Step 2: Convert to fraction form
    7,878.90/11,808.96 = 5,494.10/x
  3. Step 3: Cross multiply
    7,878.90x = 11,808.96 × 5,494.10
  4. Step 4: Simplify right side
    7,878.90x = 64,879,527.49
  5. Step 5: Solve for x
    x = 64,879,527.49/7,878.90
  6. Step 6: Final answer
    x = 8,234.59

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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.