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Finding the Fourth Proportional to 9,898, 14,835.14 and 6,920.19

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Solution

The fourth proportional to 9,898, 14,835.14 and 6,920.19 is: 10,371.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898 : 14,835.14 = 6,920.19 : x
  2. Step 2: Convert to fraction form
    9,898/14,835.14 = 6,920.19/x
  3. Step 3: Cross multiply
    9,898x = 14,835.14 × 6,920.19
  4. Step 4: Simplify right side
    9,898x = 102,661,987.48
  5. Step 5: Solve for x
    x = 102,661,987.48/9,898
  6. Step 6: Final answer
    x = 10,371.99

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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.