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Finding the Fourth Proportional to 8,778.80, 13,162.93 and 4,029

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Solution

The fourth proportional to 8,778.80, 13,162.93 and 4,029 is: 6,041.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,778.80 : 13,162.93 = 4,029 : x
  2. Step 2: Convert to fraction form
    8,778.80/13,162.93 = 4,029/x
  3. Step 3: Cross multiply
    8,778.80x = 13,162.93 × 4,029
  4. Step 4: Simplify right side
    8,778.80x = 53,033,424.83
  5. Step 5: Solve for x
    x = 53,033,424.83/8,778.80
  6. Step 6: Final answer
    x = 6,041.08

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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.