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Finding the Fourth Proportional to 3,254.60, 4,882.24 and 946.10

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Solution

The fourth proportional to 3,254.60, 4,882.24 and 946.10 is: 1,419.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.60 : 4,882.24 = 946.10 : x
  2. Step 2: Convert to fraction form
    3,254.60/4,882.24 = 946.10/x
  3. Step 3: Cross multiply
    3,254.60x = 4,882.24 × 946.10
  4. Step 4: Simplify right side
    3,254.60x = 4,619,087.26
  5. Step 5: Solve for x
    x = 4,619,087.26/3,254.60
  6. Step 6: Final answer
    x = 1,419.25

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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.