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Finding the Fourth Proportional to 8,795, 13,193.76 and 3,247.40

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Solution

The fourth proportional to 8,795, 13,193.76 and 3,247.40 is: 4,871.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,795 : 13,193.76 = 3,247.40 : x
  2. Step 2: Convert to fraction form
    8,795/13,193.76 = 3,247.40/x
  3. Step 3: Cross multiply
    8,795x = 13,193.76 × 3,247.40
  4. Step 4: Simplify right side
    8,795x = 42,845,416.22
  5. Step 5: Solve for x
    x = 42,845,416.22/8,795
  6. Step 6: Final answer
    x = 4,871.57

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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.