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Finding the Fourth Proportional to 3,097, 4,646.22 and 2,229.76

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Solution

The fourth proportional to 3,097, 4,646.22 and 2,229.76 is: 3,345.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097 : 4,646.22 = 2,229.76 : x
  2. Step 2: Convert to fraction form
    3,097/4,646.22 = 2,229.76/x
  3. Step 3: Cross multiply
    3,097x = 4,646.22 × 2,229.76
  4. Step 4: Simplify right side
    3,097x = 10,359,955.51
  5. Step 5: Solve for x
    x = 10,359,955.51/3,097
  6. Step 6: Final answer
    x = 3,345.16

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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.