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Finding the Fourth Proportional to 9,363.20, 12,921.93 and 5,778.95

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Solution

The fourth proportional to 9,363.20, 12,921.93 and 5,778.95 is: 7,975.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,363.20 : 12,921.93 = 5,778.95 : x
  2. Step 2: Convert to fraction form
    9,363.20/12,921.93 = 5,778.95/x
  3. Step 3: Cross multiply
    9,363.20x = 12,921.93 × 5,778.95
  4. Step 4: Simplify right side
    9,363.20x = 74,675,122.76
  5. Step 5: Solve for x
    x = 74,675,122.76/9,363.20
  6. Step 6: Final answer
    x = 7,975.39

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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.