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Finding the Fourth Proportional to 7,806.78, 10,770.71 and 4,823.28

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Solution

The fourth proportional to 7,806.78, 10,770.71 and 4,823.28 is: 6,654.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.78 : 10,770.71 = 4,823.28 : x
  2. Step 2: Convert to fraction form
    7,806.78/10,770.71 = 4,823.28/x
  3. Step 3: Cross multiply
    7,806.78x = 10,770.71 × 4,823.28
  4. Step 4: Simplify right side
    7,806.78x = 51,950,126.01
  5. Step 5: Solve for x
    x = 51,950,126.01/7,806.78
  6. Step 6: Final answer
    x = 6,654.49

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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.