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Finding the Fourth Proportional to 9,684.11, 13,363.53 and 5,434.78

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Solution

The fourth proportional to 9,684.11, 13,363.53 and 5,434.78 is: 7,499.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.11 : 13,363.53 = 5,434.78 : x
  2. Step 2: Convert to fraction form
    9,684.11/13,363.53 = 5,434.78/x
  3. Step 3: Cross multiply
    9,684.11x = 13,363.53 × 5,434.78
  4. Step 4: Simplify right side
    9,684.11x = 72,627,751.58
  5. Step 5: Solve for x
    x = 72,627,751.58/9,684.11
  6. Step 6: Final answer
    x = 7,499.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.