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Finding the Fourth Proportional to 9,200, 13,802.16 and 3,044

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Solution

The fourth proportional to 9,200, 13,802.16 and 3,044 is: 4,566.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200 : 13,802.16 = 3,044 : x
  2. Step 2: Convert to fraction form
    9,200/13,802.16 = 3,044/x
  3. Step 3: Cross multiply
    9,200x = 13,802.16 × 3,044
  4. Step 4: Simplify right side
    9,200x = 42,013,775.04
  5. Step 5: Solve for x
    x = 42,013,775.04/9,200
  6. Step 6: Final answer
    x = 4,566.71

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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.