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Finding the Fourth Proportional to 6,468.50, 9,703.92 and 4,279.04

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Solution

The fourth proportional to 6,468.50, 9,703.92 and 4,279.04 is: 6,419.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.50 : 9,703.92 = 4,279.04 : x
  2. Step 2: Convert to fraction form
    6,468.50/9,703.92 = 4,279.04/x
  3. Step 3: Cross multiply
    6,468.50x = 9,703.92 × 4,279.04
  4. Step 4: Simplify right side
    6,468.50x = 41,523,461.84
  5. Step 5: Solve for x
    x = 41,523,461.84/6,468.50
  6. Step 6: Final answer
    x = 6,419.33

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1.5x scale

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.