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Finding the Fourth Proportional to 21,261.76, 31,892.80 and 7,410.72

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Solution

The fourth proportional to 21,261.76, 31,892.80 and 7,410.72 is: 11,116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,261.76 : 31,892.80 = 7,410.72 : x
  2. Step 2: Convert to fraction form
    21,261.76/31,892.80 = 7,410.72/x
  3. Step 3: Cross multiply
    21,261.76x = 31,892.80 × 7,410.72
  4. Step 4: Simplify right side
    21,261.76x = 236,348,610.82
  5. Step 5: Solve for x
    x = 236,348,610.82/21,261.76
  6. Step 6: Final answer
    x = 11,116.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.