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Finding the Fourth Proportional to 3,464.47, 4,781.08 and 1,972.60

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Solution

The fourth proportional to 3,464.47, 4,781.08 and 1,972.60 is: 2,722.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.47 : 4,781.08 = 1,972.60 : x
  2. Step 2: Convert to fraction form
    3,464.47/4,781.08 = 1,972.60/x
  3. Step 3: Cross multiply
    3,464.47x = 4,781.08 × 1,972.60
  4. Step 4: Simplify right side
    3,464.47x = 9,431,164.72
  5. Step 5: Solve for x
    x = 9,431,164.72/3,464.47
  6. Step 6: Final answer
    x = 2,722.25

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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.