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Finding the Fourth Proportional to 7,720.78, 10,654.71 and 4,184

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Solution

The fourth proportional to 7,720.78, 10,654.71 and 4,184 is: 5,773.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.78 : 10,654.71 = 4,184 : x
  2. Step 2: Convert to fraction form
    7,720.78/10,654.71 = 4,184/x
  3. Step 3: Cross multiply
    7,720.78x = 10,654.71 × 4,184
  4. Step 4: Simplify right side
    7,720.78x = 44,579,306.64
  5. Step 5: Solve for x
    x = 44,579,306.64/7,720.78
  6. Step 6: Final answer
    x = 5,773.94

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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.