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Finding the Fourth Proportional to 6,735, 10,101.78 and 1,805.13

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Solution

The fourth proportional to 6,735, 10,101.78 and 1,805.13 is: 2,707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735 : 10,101.78 = 1,805.13 : x
  2. Step 2: Convert to fraction form
    6,735/10,101.78 = 1,805.13/x
  3. Step 3: Cross multiply
    6,735x = 10,101.78 × 1,805.13
  4. Step 4: Simplify right side
    6,735x = 18,235,026.13
  5. Step 5: Solve for x
    x = 18,235,026.13/6,735
  6. Step 6: Final answer
    x = 2,707.50

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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.