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Finding the Fourth Proportional to 10,802.25, 14,912.10 and 7,618.14

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Solution

The fourth proportional to 10,802.25, 14,912.10 and 7,618.14 is: 10,516.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.25 : 14,912.10 = 7,618.14 : x
  2. Step 2: Convert to fraction form
    10,802.25/14,912.10 = 7,618.14/x
  3. Step 3: Cross multiply
    10,802.25x = 14,912.10 × 7,618.14
  4. Step 4: Simplify right side
    10,802.25x = 113,602,465.49
  5. Step 5: Solve for x
    x = 113,602,465.49/10,802.25
  6. Step 6: Final answer
    x = 10,516.56

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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.