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Finding the Fourth Proportional to 6,878.54, 9,493.23 and 4,045.78

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Solution

The fourth proportional to 6,878.54, 9,493.23 and 4,045.78 is: 5,583.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.54 : 9,493.23 = 4,045.78 : x
  2. Step 2: Convert to fraction form
    6,878.54/9,493.23 = 4,045.78/x
  3. Step 3: Cross multiply
    6,878.54x = 9,493.23 × 4,045.78
  4. Step 4: Simplify right side
    6,878.54x = 38,407,524.35
  5. Step 5: Solve for x
    x = 38,407,524.35/6,878.54
  6. Step 6: Final answer
    x = 5,583.67

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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.