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Finding the Fourth Proportional to 11,125, 15,352.74 and 6,157

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Solution

The fourth proportional to 11,125, 15,352.74 and 6,157 is: 8,496.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,125 : 15,352.74 = 6,157 : x
  2. Step 2: Convert to fraction form
    11,125/15,352.74 = 6,157/x
  3. Step 3: Cross multiply
    11,125x = 15,352.74 × 6,157
  4. Step 4: Simplify right side
    11,125x = 94,526,820.18
  5. Step 5: Solve for x
    x = 94,526,820.18/11,125
  6. Step 6: Final answer
    x = 8,496.79

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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.