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Finding the Fourth Proportional to 9,537.78, 13,165.02 and 6,180.78

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Solution

The fourth proportional to 9,537.78, 13,165.02 and 6,180.78 is: 8,531.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.78 : 13,165.02 = 6,180.78 : x
  2. Step 2: Convert to fraction form
    9,537.78/13,165.02 = 6,180.78/x
  3. Step 3: Cross multiply
    9,537.78x = 13,165.02 × 6,180.78
  4. Step 4: Simplify right side
    9,537.78x = 81,370,092.32
  5. Step 5: Solve for x
    x = 81,370,092.32/9,537.78
  6. Step 6: Final answer
    x = 8,531.35

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1.5x scale

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.