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Finding the Fourth Proportional to 9,209, 13,819.18 and 4,015.28

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Solution

The fourth proportional to 9,209, 13,819.18 and 4,015.28 is: 6,025.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209 : 13,819.18 = 4,015.28 : x
  2. Step 2: Convert to fraction form
    9,209/13,819.18 = 4,015.28/x
  3. Step 3: Cross multiply
    9,209x = 13,819.18 × 4,015.28
  4. Step 4: Simplify right side
    9,209x = 55,487,877.07
  5. Step 5: Solve for x
    x = 55,487,877.07/9,209
  6. Step 6: Final answer
    x = 6,025.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.