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Finding the Fourth Proportional to 2,434, 3,365.32 and 2,325.20

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Solution

The fourth proportional to 2,434, 3,365.32 and 2,325.20 is: 3,214.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434 : 3,365.32 = 2,325.20 : x
  2. Step 2: Convert to fraction form
    2,434/3,365.32 = 2,325.20/x
  3. Step 3: Cross multiply
    2,434x = 3,365.32 × 2,325.20
  4. Step 4: Simplify right side
    2,434x = 7,825,042.06
  5. Step 5: Solve for x
    x = 7,825,042.06/2,434
  6. Step 6: Final answer
    x = 3,214.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.