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Finding the Fourth Proportional to 5,121.64, 7,684.62 and 4,713

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Solution

The fourth proportional to 5,121.64, 7,684.62 and 4,713 is: 7,071.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,121.64 : 7,684.62 = 4,713 : x
  2. Step 2: Convert to fraction form
    5,121.64/7,684.62 = 4,713/x
  3. Step 3: Cross multiply
    5,121.64x = 7,684.62 × 4,713
  4. Step 4: Simplify right side
    5,121.64x = 36,217,614.06
  5. Step 5: Solve for x
    x = 36,217,614.06/5,121.64
  6. Step 6: Final answer
    x = 7,071.49

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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.