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Finding the Fourth Proportional to 11,306, 15,603.72 and 6,338

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Solution

The fourth proportional to 11,306, 15,603.72 and 6,338 is: 8,747.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306 : 15,603.72 = 6,338 : x
  2. Step 2: Convert to fraction form
    11,306/15,603.72 = 6,338/x
  3. Step 3: Cross multiply
    11,306x = 15,603.72 × 6,338
  4. Step 4: Simplify right side
    11,306x = 98,896,377.36
  5. Step 5: Solve for x
    x = 98,896,377.36/11,306
  6. Step 6: Final answer
    x = 8,747.25

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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.