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Finding the Fourth Proportional to 11,175.60, 15,409.68 and 7,137

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Solution

The fourth proportional to 11,175.60, 15,409.68 and 7,137 is: 9,840.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,175.60 : 15,409.68 = 7,137 : x
  2. Step 2: Convert to fraction form
    11,175.60/15,409.68 = 7,137/x
  3. Step 3: Cross multiply
    11,175.60x = 15,409.68 × 7,137
  4. Step 4: Simplify right side
    11,175.60x = 109,978,886.16
  5. Step 5: Solve for x
    x = 109,978,886.16/11,175.60
  6. Step 6: Final answer
    x = 9,840.98

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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.