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Finding the Fourth Proportional to 8,005.81, 11,993.12 and 4,878.06

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Solution

The fourth proportional to 8,005.81, 11,993.12 and 4,878.06 is: 7,307.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.81 : 11,993.12 = 4,878.06 : x
  2. Step 2: Convert to fraction form
    8,005.81/11,993.12 = 4,878.06/x
  3. Step 3: Cross multiply
    8,005.81x = 11,993.12 × 4,878.06
  4. Step 4: Simplify right side
    8,005.81x = 58,503,158.95
  5. Step 5: Solve for x
    x = 58,503,158.95/8,005.81
  6. Step 6: Final answer
    x = 7,307.59

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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.