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Finding the Fourth Proportional to 8,709.78, 13,055.73 and 3,442.68

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Solution

The fourth proportional to 8,709.78, 13,055.73 and 3,442.68 is: 5,160.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.78 : 13,055.73 = 3,442.68 : x
  2. Step 2: Convert to fraction form
    8,709.78/13,055.73 = 3,442.68/x
  3. Step 3: Cross multiply
    8,709.78x = 13,055.73 × 3,442.68
  4. Step 4: Simplify right side
    8,709.78x = 44,946,700.56
  5. Step 5: Solve for x
    x = 44,946,700.56/8,709.78
  6. Step 6: Final answer
    x = 5,160.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.