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Finding the Fourth Proportional to 9,208, 13,812.04 and 3,052

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Solution

The fourth proportional to 9,208, 13,812.04 and 3,052 is: 4,578.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208 : 13,812.04 = 3,052 : x
  2. Step 2: Convert to fraction form
    9,208/13,812.04 = 3,052/x
  3. Step 3: Cross multiply
    9,208x = 13,812.04 × 3,052
  4. Step 4: Simplify right side
    9,208x = 42,154,346.08
  5. Step 5: Solve for x
    x = 42,154,346.08/9,208
  6. Step 6: Final answer
    x = 4,578.01

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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.