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Finding the Fourth Proportional to 8,122.35, 11,205.93 and 4,934.34

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Solution

The fourth proportional to 8,122.35, 11,205.93 and 4,934.34 is: 6,807.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.35 : 11,205.93 = 4,934.34 : x
  2. Step 2: Convert to fraction form
    8,122.35/11,205.93 = 4,934.34/x
  3. Step 3: Cross multiply
    8,122.35x = 11,205.93 × 4,934.34
  4. Step 4: Simplify right side
    8,122.35x = 55,293,868.64
  5. Step 5: Solve for x
    x = 55,293,868.64/8,122.35
  6. Step 6: Final answer
    x = 6,807.62

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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.