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Finding the Fourth Proportional to 11,137.30, 15,369.49 and 6,169.30

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Solution

The fourth proportional to 11,137.30, 15,369.49 and 6,169.30 is: 8,513.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.30 : 15,369.49 = 6,169.30 : x
  2. Step 2: Convert to fraction form
    11,137.30/15,369.49 = 6,169.30/x
  3. Step 3: Cross multiply
    11,137.30x = 15,369.49 × 6,169.30
  4. Step 4: Simplify right side
    11,137.30x = 94,818,994.66
  5. Step 5: Solve for x
    x = 94,818,994.66/11,137.30
  6. Step 6: Final answer
    x = 8,513.64

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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.