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Finding the Fourth Proportional to 11,392.79, 15,723.11 and 6,357.45

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Solution

The fourth proportional to 11,392.79, 15,723.11 and 6,357.45 is: 8,773.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,392.79 : 15,723.11 = 6,357.45 : x
  2. Step 2: Convert to fraction form
    11,392.79/15,723.11 = 6,357.45/x
  3. Step 3: Cross multiply
    11,392.79x = 15,723.11 × 6,357.45
  4. Step 4: Simplify right side
    11,392.79x = 99,958,960.52
  5. Step 5: Solve for x
    x = 99,958,960.52/11,392.79
  6. Step 6: Final answer
    x = 8,773.88

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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.