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Finding the Fourth Proportional to 7,684.65, 11,518.65 and 3,727.53

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Solution

The fourth proportional to 7,684.65, 11,518.65 and 3,727.53 is: 5,587.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.65 : 11,518.65 = 3,727.53 : x
  2. Step 2: Convert to fraction form
    7,684.65/11,518.65 = 3,727.53/x
  3. Step 3: Cross multiply
    7,684.65x = 11,518.65 × 3,727.53
  4. Step 4: Simplify right side
    7,684.65x = 42,936,113.43
  5. Step 5: Solve for x
    x = 42,936,113.43/7,684.65
  6. Step 6: Final answer
    x = 5,587.26

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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.