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Finding the Fourth Proportional to 7,780, 10,736.52 and 4,243.30

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Solution

The fourth proportional to 7,780, 10,736.52 and 4,243.30 is: 5,855.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780 : 10,736.52 = 4,243.30 : x
  2. Step 2: Convert to fraction form
    7,780/10,736.52 = 4,243.30/x
  3. Step 3: Cross multiply
    7,780x = 10,736.52 × 4,243.30
  4. Step 4: Simplify right side
    7,780x = 45,558,275.32
  5. Step 5: Solve for x
    x = 45,558,275.32/7,780
  6. Step 6: Final answer
    x = 5,855.82

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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.