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Finding the Fourth Proportional to 7,490.88, 11,232 and 3,111.48

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Solution

The fourth proportional to 7,490.88, 11,232 and 3,111.48 is: 4,665.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,490.88 : 11,232 = 3,111.48 : x
  2. Step 2: Convert to fraction form
    7,490.88/11,232 = 3,111.48/x
  3. Step 3: Cross multiply
    7,490.88x = 11,232 × 3,111.48
  4. Step 4: Simplify right side
    7,490.88x = 34,948,143.36
  5. Step 5: Solve for x
    x = 34,948,143.36/7,490.88
  6. Step 6: Final answer
    x = 4,665.43

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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.