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Finding the Fourth Proportional to 9,838.19, 14,751.87 and 6,721.71

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Solution

The fourth proportional to 9,838.19, 14,751.87 and 6,721.71 is: 10,078.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.19 : 14,751.87 = 6,721.71 : x
  2. Step 2: Convert to fraction form
    9,838.19/14,751.87 = 6,721.71/x
  3. Step 3: Cross multiply
    9,838.19x = 14,751.87 × 6,721.71
  4. Step 4: Simplify right side
    9,838.19x = 99,157,828.98
  5. Step 5: Solve for x
    x = 99,157,828.98/9,838.19
  6. Step 6: Final answer
    x = 10,078.87

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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.