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Finding the Fourth Proportional to 6,313, 8,712 and 3,519.04

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Solution

The fourth proportional to 6,313, 8,712 and 3,519.04 is: 4,856.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313 : 8,712 = 3,519.04 : x
  2. Step 2: Convert to fraction form
    6,313/8,712 = 3,519.04/x
  3. Step 3: Cross multiply
    6,313x = 8,712 × 3,519.04
  4. Step 4: Simplify right side
    6,313x = 30,657,876.48
  5. Step 5: Solve for x
    x = 30,657,876.48/6,313
  6. Step 6: Final answer
    x = 4,856.31

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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.