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Finding the Fourth Proportional to 7,902.41, 11,849.94 and 5,438.39

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Solution

The fourth proportional to 7,902.41, 11,849.94 and 5,438.39 is: 8,155.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.41 : 11,849.94 = 5,438.39 : x
  2. Step 2: Convert to fraction form
    7,902.41/11,849.94 = 5,438.39/x
  3. Step 3: Cross multiply
    7,902.41x = 11,849.94 × 5,438.39
  4. Step 4: Simplify right side
    7,902.41x = 64,444,535.95
  5. Step 5: Solve for x
    x = 64,444,535.95/7,902.41
  6. Step 6: Final answer
    x = 8,155.05

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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.