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Finding the Fourth Proportional to 7,137, 10,705.64 and 1,943.01

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Solution

The fourth proportional to 7,137, 10,705.64 and 1,943.01 is: 2,914.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137 : 10,705.64 = 1,943.01 : x
  2. Step 2: Convert to fraction form
    7,137/10,705.64 = 1,943.01/x
  3. Step 3: Cross multiply
    7,137x = 10,705.64 × 1,943.01
  4. Step 4: Simplify right side
    7,137x = 20,801,155.86
  5. Step 5: Solve for x
    x = 20,801,155.86/7,137
  6. Step 6: Final answer
    x = 2,914.55

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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.