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Finding the Fourth Proportional to 7,788, 10,747.04 and 4,250.53

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Solution

The fourth proportional to 7,788, 10,747.04 and 4,250.53 is: 5,865.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788 : 10,747.04 = 4,250.53 : x
  2. Step 2: Convert to fraction form
    7,788/10,747.04 = 4,250.53/x
  3. Step 3: Cross multiply
    7,788x = 10,747.04 × 4,250.53
  4. Step 4: Simplify right side
    7,788x = 45,680,615.93
  5. Step 5: Solve for x
    x = 45,680,615.93/7,788
  6. Step 6: Final answer
    x = 5,865.51

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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.