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Finding the Fourth Proportional to 11,103, 15,322.14 and 6,135

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Solution

The fourth proportional to 11,103, 15,322.14 and 6,135 is: 8,466.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,103 : 15,322.14 = 6,135 : x
  2. Step 2: Convert to fraction form
    11,103/15,322.14 = 6,135/x
  3. Step 3: Cross multiply
    11,103x = 15,322.14 × 6,135
  4. Step 4: Simplify right side
    11,103x = 94,001,328.90
  5. Step 5: Solve for x
    x = 94,001,328.90/11,103
  6. Step 6: Final answer
    x = 8,466.30

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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.