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Finding the Fourth Proportional to 4,809.78, 6,641.01 and 4,153.68

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Solution

The fourth proportional to 4,809.78, 6,641.01 and 4,153.68 is: 5,735.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.78 : 6,641.01 = 4,153.68 : x
  2. Step 2: Convert to fraction form
    4,809.78/6,641.01 = 4,153.68/x
  3. Step 3: Cross multiply
    4,809.78x = 6,641.01 × 4,153.68
  4. Step 4: Simplify right side
    4,809.78x = 27,584,630.42
  5. Step 5: Solve for x
    x = 27,584,630.42/4,809.78
  6. Step 6: Final answer
    x = 5,735.11

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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.