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Finding the Fourth Proportional to 10,878.81, 15,011.73 and 6,163.09

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Solution

The fourth proportional to 10,878.81, 15,011.73 and 6,163.09 is: 8,504.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878.81 : 15,011.73 = 6,163.09 : x
  2. Step 2: Convert to fraction form
    10,878.81/15,011.73 = 6,163.09/x
  3. Step 3: Cross multiply
    10,878.81x = 15,011.73 × 6,163.09
  4. Step 4: Simplify right side
    10,878.81x = 92,518,605.52
  5. Step 5: Solve for x
    x = 92,518,605.52/10,878.81
  6. Step 6: Final answer
    x = 8,504.48

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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.