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Finding the Fourth Proportional to 7,434.25, 10,258.79 and 4,076.39

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Solution

The fourth proportional to 7,434.25, 10,258.79 and 4,076.39 is: 5,625.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,434.25 : 10,258.79 = 4,076.39 : x
  2. Step 2: Convert to fraction form
    7,434.25/10,258.79 = 4,076.39/x
  3. Step 3: Cross multiply
    7,434.25x = 10,258.79 × 4,076.39
  4. Step 4: Simplify right side
    7,434.25x = 41,818,834.23
  5. Step 5: Solve for x
    x = 41,818,834.23/7,434.25
  6. Step 6: Final answer
    x = 5,625.16

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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.