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Finding the Fourth Proportional to 11,417.82, 15,761.16 and 7,442.34

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Solution

The fourth proportional to 11,417.82, 15,761.16 and 7,442.34 is: 10,273.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.82 : 15,761.16 = 7,442.34 : x
  2. Step 2: Convert to fraction form
    11,417.82/15,761.16 = 7,442.34/x
  3. Step 3: Cross multiply
    11,417.82x = 15,761.16 × 7,442.34
  4. Step 4: Simplify right side
    11,417.82x = 117,299,911.51
  5. Step 5: Solve for x
    x = 117,299,911.51/11,417.82
  6. Step 6: Final answer
    x = 10,273.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.