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Finding the Fourth Proportional to 9,685.36, 13,363.14 and 5,909.14

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Solution

The fourth proportional to 9,685.36, 13,363.14 and 5,909.14 is: 8,152.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.36 : 13,363.14 = 5,909.14 : x
  2. Step 2: Convert to fraction form
    9,685.36/13,363.14 = 5,909.14/x
  3. Step 3: Cross multiply
    9,685.36x = 13,363.14 × 5,909.14
  4. Step 4: Simplify right side
    9,685.36x = 78,964,665.10
  5. Step 5: Solve for x
    x = 78,964,665.10/9,685.36
  6. Step 6: Final answer
    x = 8,152.99

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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.