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Finding the Fourth Proportional to 10,485.65, 15,728.45 and 2,694.48

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Solution

The fourth proportional to 10,485.65, 15,728.45 and 2,694.48 is: 4,041.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.65 : 15,728.45 = 2,694.48 : x
  2. Step 2: Convert to fraction form
    10,485.65/15,728.45 = 2,694.48/x
  3. Step 3: Cross multiply
    10,485.65x = 15,728.45 × 2,694.48
  4. Step 4: Simplify right side
    10,485.65x = 42,379,980.48
  5. Step 5: Solve for x
    x = 42,379,980.48/10,485.65
  6. Step 6: Final answer
    x = 4,041.71

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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.