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Finding the Fourth Proportional to 11,170, 15,427.56 and 7,437.52

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Solution

The fourth proportional to 11,170, 15,427.56 and 7,437.52 is: 10,272.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,170 : 15,427.56 = 7,437.52 : x
  2. Step 2: Convert to fraction form
    11,170/15,427.56 = 7,437.52/x
  3. Step 3: Cross multiply
    11,170x = 15,427.56 × 7,437.52
  4. Step 4: Simplify right side
    11,170x = 114,742,786.05
  5. Step 5: Solve for x
    x = 114,742,786.05/11,170
  6. Step 6: Final answer
    x = 10,272.41

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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.