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Finding the Fourth Proportional to 10,497.19, 15,744.42 and 3,102.43

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Solution

The fourth proportional to 10,497.19, 15,744.42 and 3,102.43 is: 4,653.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.19 : 15,744.42 = 3,102.43 : x
  2. Step 2: Convert to fraction form
    10,497.19/15,744.42 = 3,102.43/x
  3. Step 3: Cross multiply
    10,497.19x = 15,744.42 × 3,102.43
  4. Step 4: Simplify right side
    10,497.19x = 48,845,960.94
  5. Step 5: Solve for x
    x = 48,845,960.94/10,497.19
  6. Step 6: Final answer
    x = 4,653.24

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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.