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Finding the Fourth Proportional to 7,878.56, 10,874.02 and 4,523.68

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Solution

The fourth proportional to 7,878.56, 10,874.02 and 4,523.68 is: 6,243.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.56 : 10,874.02 = 4,523.68 : x
  2. Step 2: Convert to fraction form
    7,878.56/10,874.02 = 4,523.68/x
  3. Step 3: Cross multiply
    7,878.56x = 10,874.02 × 4,523.68
  4. Step 4: Simplify right side
    7,878.56x = 49,190,586.79
  5. Step 5: Solve for x
    x = 49,190,586.79/7,878.56
  6. Step 6: Final answer
    x = 6,243.60

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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.