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Finding the Fourth Proportional to 6,802.12, 9,385.50 and 4,447.72

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Solution

The fourth proportional to 6,802.12, 9,385.50 and 4,447.72 is: 6,136.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.12 : 9,385.50 = 4,447.72 : x
  2. Step 2: Convert to fraction form
    6,802.12/9,385.50 = 4,447.72/x
  3. Step 3: Cross multiply
    6,802.12x = 9,385.50 × 4,447.72
  4. Step 4: Simplify right side
    6,802.12x = 41,744,076.06
  5. Step 5: Solve for x
    x = 41,744,076.06/6,802.12
  6. Step 6: Final answer
    x = 6,136.92

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1.5x scale

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.