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Finding the Fourth Proportional to 11,137.69, 15,369.06 and 6,357.61

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Solution

The fourth proportional to 11,137.69, 15,369.06 and 6,357.61 is: 8,772.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.69 : 15,369.06 = 6,357.61 : x
  2. Step 2: Convert to fraction form
    11,137.69/15,369.06 = 6,357.61/x
  3. Step 3: Cross multiply
    11,137.69x = 15,369.06 × 6,357.61
  4. Step 4: Simplify right side
    11,137.69x = 97,710,489.55
  5. Step 5: Solve for x
    x = 97,710,489.55/11,137.69
  6. Step 6: Final answer
    x = 8,772.96

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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.