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Finding the Fourth Proportional to 9,913.86, 13,678.74 and 6,137.17

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Solution

The fourth proportional to 9,913.86, 13,678.74 and 6,137.17 is: 8,467.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.86 : 13,678.74 = 6,137.17 : x
  2. Step 2: Convert to fraction form
    9,913.86/13,678.74 = 6,137.17/x
  3. Step 3: Cross multiply
    9,913.86x = 13,678.74 × 6,137.17
  4. Step 4: Simplify right side
    9,913.86x = 83,948,718.57
  5. Step 5: Solve for x
    x = 83,948,718.57/9,913.86
  6. Step 6: Final answer
    x = 8,467.81

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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.