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Finding the Fourth Proportional to 11,107, 15,328.62 and 6,139.96

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Solution

The fourth proportional to 11,107, 15,328.62 and 6,139.96 is: 8,473.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,107 : 15,328.62 = 6,139.96 : x
  2. Step 2: Convert to fraction form
    11,107/15,328.62 = 6,139.96/x
  3. Step 3: Cross multiply
    11,107x = 15,328.62 × 6,139.96
  4. Step 4: Simplify right side
    11,107x = 94,117,113.66
  5. Step 5: Solve for x
    x = 94,117,113.66/11,107
  6. Step 6: Final answer
    x = 8,473.68

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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.