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Finding the Fourth Proportional to 11,342.72, 15,653.04 and 6,374.72

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Solution

The fourth proportional to 11,342.72, 15,653.04 and 6,374.72 is: 8,797.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.72 : 15,653.04 = 6,374.72 : x
  2. Step 2: Convert to fraction form
    11,342.72/15,653.04 = 6,374.72/x
  3. Step 3: Cross multiply
    11,342.72x = 15,653.04 × 6,374.72
  4. Step 4: Simplify right side
    11,342.72x = 99,783,747.15
  5. Step 5: Solve for x
    x = 99,783,747.15/11,342.72
  6. Step 6: Final answer
    x = 8,797.16

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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.