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Finding the Fourth Proportional to 3,258, 4,883.67 and 1,410.30

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Solution

The fourth proportional to 3,258, 4,883.67 and 1,410.30 is: 2,114.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258 : 4,883.67 = 1,410.30 : x
  2. Step 2: Convert to fraction form
    3,258/4,883.67 = 1,410.30/x
  3. Step 3: Cross multiply
    3,258x = 4,883.67 × 1,410.30
  4. Step 4: Simplify right side
    3,258x = 6,887,439.80
  5. Step 5: Solve for x
    x = 6,887,439.80/3,258
  6. Step 6: Final answer
    x = 2,114.01

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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.