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Finding the Fourth Proportional to 5,147.64, 7,721.86 and 1,685.24

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Solution

The fourth proportional to 5,147.64, 7,721.86 and 1,685.24 is: 2,527.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.64 : 7,721.86 = 1,685.24 : x
  2. Step 2: Convert to fraction form
    5,147.64/7,721.86 = 1,685.24/x
  3. Step 3: Cross multiply
    5,147.64x = 7,721.86 × 1,685.24
  4. Step 4: Simplify right side
    5,147.64x = 13,013,187.35
  5. Step 5: Solve for x
    x = 13,013,187.35/5,147.64
  6. Step 6: Final answer
    x = 2,527.99

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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.