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Finding the Fourth Proportional to 5,207.44, 7,802.94 and 4,228.78

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Solution

The fourth proportional to 5,207.44, 7,802.94 and 4,228.78 is: 6,336.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.44 : 7,802.94 = 4,228.78 : x
  2. Step 2: Convert to fraction form
    5,207.44/7,802.94 = 4,228.78/x
  3. Step 3: Cross multiply
    5,207.44x = 7,802.94 × 4,228.78
  4. Step 4: Simplify right side
    5,207.44x = 32,996,916.61
  5. Step 5: Solve for x
    x = 32,996,916.61/5,207.44
  6. Step 6: Final answer
    x = 6,336.49

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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.