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Finding the Fourth Proportional to 4,743.78, 7,118.74 and 2,146.74

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Solution

The fourth proportional to 4,743.78, 7,118.74 and 2,146.74 is: 3,221.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.78 : 7,118.74 = 2,146.74 : x
  2. Step 2: Convert to fraction form
    4,743.78/7,118.74 = 2,146.74/x
  3. Step 3: Cross multiply
    4,743.78x = 7,118.74 × 2,146.74
  4. Step 4: Simplify right side
    4,743.78x = 15,282,083.91
  5. Step 5: Solve for x
    x = 15,282,083.91/4,743.78
  6. Step 6: Final answer
    x = 3,221.50

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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.