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Finding the Fourth Proportional to 9,897.72, 13,661.10 and 6,171

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Solution

The fourth proportional to 9,897.72, 13,661.10 and 6,171 is: 8,517.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.72 : 13,661.10 = 6,171 : x
  2. Step 2: Convert to fraction form
    9,897.72/13,661.10 = 6,171/x
  3. Step 3: Cross multiply
    9,897.72x = 13,661.10 × 6,171
  4. Step 4: Simplify right side
    9,897.72x = 84,302,648.10
  5. Step 5: Solve for x
    x = 84,302,648.10/9,897.72
  6. Step 6: Final answer
    x = 8,517.38

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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.