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Finding the Fourth Proportional to 7,029.24, 10,548.78 and 5,185.14

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Solution

The fourth proportional to 7,029.24, 10,548.78 and 5,185.14 is: 7,781.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.24 : 10,548.78 = 5,185.14 : x
  2. Step 2: Convert to fraction form
    7,029.24/10,548.78 = 5,185.14/x
  3. Step 3: Cross multiply
    7,029.24x = 10,548.78 × 5,185.14
  4. Step 4: Simplify right side
    7,029.24x = 54,696,901.13
  5. Step 5: Solve for x
    x = 54,696,901.13/7,029.24
  6. Step 6: Final answer
    x = 7,781.34

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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.