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Finding the Fourth Proportional to 6,513.84, 8,989.20 and 3,719.34

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Solution

The fourth proportional to 6,513.84, 8,989.20 and 3,719.34 is: 5,132.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.84 : 8,989.20 = 3,719.34 : x
  2. Step 2: Convert to fraction form
    6,513.84/8,989.20 = 3,719.34/x
  3. Step 3: Cross multiply
    6,513.84x = 8,989.20 × 3,719.34
  4. Step 4: Simplify right side
    6,513.84x = 33,433,891.13
  5. Step 5: Solve for x
    x = 33,433,891.13/6,513.84
  6. Step 6: Final answer
    x = 5,132.75

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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.