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Finding the Fourth Proportional to 7,434, 11,144.64 and 3,048.72

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Solution

The fourth proportional to 7,434, 11,144.64 and 3,048.72 is: 4,570.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,434 : 11,144.64 = 3,048.72 : x
  2. Step 2: Convert to fraction form
    7,434/11,144.64 = 3,048.72/x
  3. Step 3: Cross multiply
    7,434x = 11,144.64 × 3,048.72
  4. Step 4: Simplify right side
    7,434x = 33,976,886.86
  5. Step 5: Solve for x
    x = 33,976,886.86/7,434
  6. Step 6: Final answer
    x = 4,570.47

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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.