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Finding the Fourth Proportional to 5,109, 7,662.90 and 1,411.56

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Solution

The fourth proportional to 5,109, 7,662.90 and 1,411.56 is: 2,117.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109 : 7,662.90 = 1,411.56 : x
  2. Step 2: Convert to fraction form
    5,109/7,662.90 = 1,411.56/x
  3. Step 3: Cross multiply
    5,109x = 7,662.90 × 1,411.56
  4. Step 4: Simplify right side
    5,109x = 10,816,643.12
  5. Step 5: Solve for x
    x = 10,816,643.12/5,109
  6. Step 6: Final answer
    x = 2,117.17

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Why These Related Problems?

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