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Finding the Fourth Proportional to 11,294.91, 15,577.11 and 7,312.14

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Solution

The fourth proportional to 11,294.91, 15,577.11 and 7,312.14 is: 10,084.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294.91 : 15,577.11 = 7,312.14 : x
  2. Step 2: Convert to fraction form
    11,294.91/15,577.11 = 7,312.14/x
  3. Step 3: Cross multiply
    11,294.91x = 15,577.11 × 7,312.14
  4. Step 4: Simplify right side
    11,294.91x = 113,902,009.12
  5. Step 5: Solve for x
    x = 113,902,009.12/11,294.91
  6. Step 6: Final answer
    x = 10,084.37

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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.