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Finding the Fourth Proportional to 7,800.78, 10,765.08 and 4,264

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Solution

The fourth proportional to 7,800.78, 10,765.08 and 4,264 is: 5,884.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.78 : 10,765.08 = 4,264 : x
  2. Step 2: Convert to fraction form
    7,800.78/10,765.08 = 4,264/x
  3. Step 3: Cross multiply
    7,800.78x = 10,765.08 × 4,264
  4. Step 4: Simplify right side
    7,800.78x = 45,902,301.12
  5. Step 5: Solve for x
    x = 45,902,301.12/7,800.78
  6. Step 6: Final answer
    x = 5,884.32

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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.