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Finding the Fourth Proportional to 5,392, 7,440.78 and 3,034

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Solution

The fourth proportional to 5,392, 7,440.78 and 3,034 is: 4,186.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,392 : 7,440.78 = 3,034 : x
  2. Step 2: Convert to fraction form
    5,392/7,440.78 = 3,034/x
  3. Step 3: Cross multiply
    5,392x = 7,440.78 × 3,034
  4. Step 4: Simplify right side
    5,392x = 22,575,326.52
  5. Step 5: Solve for x
    x = 22,575,326.52/5,392
  6. Step 6: Final answer
    x = 4,186.82

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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.