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Finding the Fourth Proportional to 9,211.50, 12,711.87 and 5,019.75

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Solution

The fourth proportional to 9,211.50, 12,711.87 and 5,019.75 is: 6,927.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.50 : 12,711.87 = 5,019.75 : x
  2. Step 2: Convert to fraction form
    9,211.50/12,711.87 = 5,019.75/x
  3. Step 3: Cross multiply
    9,211.50x = 12,711.87 × 5,019.75
  4. Step 4: Simplify right side
    9,211.50x = 63,810,409.43
  5. Step 5: Solve for x
    x = 63,810,409.43/9,211.50
  6. Step 6: Final answer
    x = 6,927.26

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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.