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Finding the Fourth Proportional to 10,869.74, 16,307.86 and 6,249.50

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Solution

The fourth proportional to 10,869.74, 16,307.86 and 6,249.50 is: 9,376.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,869.74 : 16,307.86 = 6,249.50 : x
  2. Step 2: Convert to fraction form
    10,869.74/16,307.86 = 6,249.50/x
  3. Step 3: Cross multiply
    10,869.74x = 16,307.86 × 6,249.50
  4. Step 4: Simplify right side
    10,869.74x = 101,915,971.07
  5. Step 5: Solve for x
    x = 101,915,971.07/10,869.74
  6. Step 6: Final answer
    x = 9,376.12

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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.