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Finding the Fourth Proportional to 7,643.62, 10,543.71 and 4,806.49

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Solution

The fourth proportional to 7,643.62, 10,543.71 and 4,806.49 is: 6,630.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.62 : 10,543.71 = 4,806.49 : x
  2. Step 2: Convert to fraction form
    7,643.62/10,543.71 = 4,806.49/x
  3. Step 3: Cross multiply
    7,643.62x = 10,543.71 × 4,806.49
  4. Step 4: Simplify right side
    7,643.62x = 50,678,236.68
  5. Step 5: Solve for x
    x = 50,678,236.68/7,643.62
  6. Step 6: Final answer
    x = 6,630.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.