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Finding the Fourth Proportional to 11,338, 15,647.52 and 6,370

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Solution

The fourth proportional to 11,338, 15,647.52 and 6,370 is: 8,791.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,338 : 15,647.52 = 6,370 : x
  2. Step 2: Convert to fraction form
    11,338/15,647.52 = 6,370/x
  3. Step 3: Cross multiply
    11,338x = 15,647.52 × 6,370
  4. Step 4: Simplify right side
    11,338x = 99,674,702.40
  5. Step 5: Solve for x
    x = 99,674,702.40/11,338
  6. Step 6: Final answer
    x = 8,791.21

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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.