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Finding the Fourth Proportional to 7,834, 10,811.28 and 4,297.36

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Solution

The fourth proportional to 7,834, 10,811.28 and 4,297.36 is: 5,930.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834 : 10,811.28 = 4,297.36 : x
  2. Step 2: Convert to fraction form
    7,834/10,811.28 = 4,297.36/x
  3. Step 3: Cross multiply
    7,834x = 10,811.28 × 4,297.36
  4. Step 4: Simplify right side
    7,834x = 46,459,962.22
  5. Step 5: Solve for x
    x = 46,459,962.22/7,834
  6. Step 6: Final answer
    x = 5,930.55

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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.