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Finding the Fourth Proportional to 11,356, 15,671.76 and 6,639.52

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Solution

The fourth proportional to 11,356, 15,671.76 and 6,639.52 is: 9,162.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,356 : 15,671.76 = 6,639.52 : x
  2. Step 2: Convert to fraction form
    11,356/15,671.76 = 6,639.52/x
  3. Step 3: Cross multiply
    11,356x = 15,671.76 × 6,639.52
  4. Step 4: Simplify right side
    11,356x = 104,052,963.96
  5. Step 5: Solve for x
    x = 104,052,963.96/11,356
  6. Step 6: Final answer
    x = 9,162.82

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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.