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Finding the Fourth Proportional to 6,438.36, 8,877.42 and 5,971.80

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Solution

The fourth proportional to 6,438.36, 8,877.42 and 5,971.80 is: 8,234.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.36 : 8,877.42 = 5,971.80 : x
  2. Step 2: Convert to fraction form
    6,438.36/8,877.42 = 5,971.80/x
  3. Step 3: Cross multiply
    6,438.36x = 8,877.42 × 5,971.80
  4. Step 4: Simplify right side
    6,438.36x = 53,014,176.76
  5. Step 5: Solve for x
    x = 53,014,176.76/6,438.36
  6. Step 6: Final answer
    x = 8,234.11

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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.