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Finding the Fourth Proportional to 8,737.78, 13,093.71 and 6,417.94

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Solution

The fourth proportional to 8,737.78, 13,093.71 and 6,417.94 is: 9,617.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,737.78 : 13,093.71 = 6,417.94 : x
  2. Step 2: Convert to fraction form
    8,737.78/13,093.71 = 6,417.94/x
  3. Step 3: Cross multiply
    8,737.78x = 13,093.71 × 6,417.94
  4. Step 4: Simplify right side
    8,737.78x = 84,034,645.16
  5. Step 5: Solve for x
    x = 84,034,645.16/8,737.78
  6. Step 6: Final answer
    x = 9,617.39

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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.