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Finding the Fourth Proportional to 10,485, 15,727.50 and 2,693.82

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Solution

The fourth proportional to 10,485, 15,727.50 and 2,693.82 is: 4,040.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485 : 15,727.50 = 2,693.82 : x
  2. Step 2: Convert to fraction form
    10,485/15,727.50 = 2,693.82/x
  3. Step 3: Cross multiply
    10,485x = 15,727.50 × 2,693.82
  4. Step 4: Simplify right side
    10,485x = 42,367,054.05
  5. Step 5: Solve for x
    x = 42,367,054.05/10,485
  6. Step 6: Final answer
    x = 4,040.73

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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.