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Finding the Fourth Proportional to 7,434, 10,258.92 and 4,122

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Solution

The fourth proportional to 7,434, 10,258.92 and 4,122 is: 5,688.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,434 : 10,258.92 = 4,122 : x
  2. Step 2: Convert to fraction form
    7,434/10,258.92 = 4,122/x
  3. Step 3: Cross multiply
    7,434x = 10,258.92 × 4,122
  4. Step 4: Simplify right side
    7,434x = 42,287,268.24
  5. Step 5: Solve for x
    x = 42,287,268.24/7,434
  6. Step 6: Final answer
    x = 5,688.36

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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.