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Finding the Fourth Proportional to 10,310, 14,227.88 and 6,121.84

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Solution

The fourth proportional to 10,310, 14,227.88 and 6,121.84 is: 8,448.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,310 : 14,227.88 = 6,121.84 : x
  2. Step 2: Convert to fraction form
    10,310/14,227.88 = 6,121.84/x
  3. Step 3: Cross multiply
    10,310x = 14,227.88 × 6,121.84
  4. Step 4: Simplify right side
    10,310x = 87,100,804.90
  5. Step 5: Solve for x
    x = 87,100,804.90/10,310
  6. Step 6: Final answer
    x = 8,448.19

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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.