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Finding the Fourth Proportional to 4,262.74, 6,388.93 and 1,922.13

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Solution

The fourth proportional to 4,262.74, 6,388.93 and 1,922.13 is: 2,880.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,262.74 : 6,388.93 = 1,922.13 : x
  2. Step 2: Convert to fraction form
    4,262.74/6,388.93 = 1,922.13/x
  3. Step 3: Cross multiply
    4,262.74x = 6,388.93 × 1,922.13
  4. Step 4: Simplify right side
    4,262.74x = 12,280,345.61
  5. Step 5: Solve for x
    x = 12,280,345.61/4,262.74
  6. Step 6: Final answer
    x = 2,880.86

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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.