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Finding the Fourth Proportional to 9,137.71, 13,711.11 and 4,210.82

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Solution

The fourth proportional to 9,137.71, 13,711.11 and 4,210.82 is: 6,318.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.71 : 13,711.11 = 4,210.82 : x
  2. Step 2: Convert to fraction form
    9,137.71/13,711.11 = 4,210.82/x
  3. Step 3: Cross multiply
    9,137.71x = 13,711.11 × 4,210.82
  4. Step 4: Simplify right side
    9,137.71x = 57,734,983.28
  5. Step 5: Solve for x
    x = 57,734,983.28/9,137.71
  6. Step 6: Final answer
    x = 6,318.32

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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.