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Finding the Fourth Proportional to 7,858, 11,790.24 and 3,244.24

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Solution

The fourth proportional to 7,858, 11,790.24 and 3,244.24 is: 4,867.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858 : 11,790.24 = 3,244.24 : x
  2. Step 2: Convert to fraction form
    7,858/11,790.24 = 3,244.24/x
  3. Step 3: Cross multiply
    7,858x = 11,790.24 × 3,244.24
  4. Step 4: Simplify right side
    7,858x = 38,250,368.22
  5. Step 5: Solve for x
    x = 38,250,368.22/7,858
  6. Step 6: Final answer
    x = 4,867.70

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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.