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Finding the Fourth Proportional to 9,205.48, 13,809.93 and 8,370.82

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Solution

The fourth proportional to 9,205.48, 13,809.93 and 8,370.82 is: 12,557.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.48 : 13,809.93 = 8,370.82 : x
  2. Step 2: Convert to fraction form
    9,205.48/13,809.93 = 8,370.82/x
  3. Step 3: Cross multiply
    9,205.48x = 13,809.93 × 8,370.82
  4. Step 4: Simplify right side
    9,205.48x = 115,600,438.24
  5. Step 5: Solve for x
    x = 115,600,438.24/9,205.48
  6. Step 6: Final answer
    x = 12,557.78

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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.