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Finding the Fourth Proportional to 3,412.53, 5,117.78 and 946.70

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Solution

The fourth proportional to 3,412.53, 5,117.78 and 946.70 is: 1,419.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.53 : 5,117.78 = 946.70 : x
  2. Step 2: Convert to fraction form
    3,412.53/5,117.78 = 946.70/x
  3. Step 3: Cross multiply
    3,412.53x = 5,117.78 × 946.70
  4. Step 4: Simplify right side
    3,412.53x = 4,844,972.00
  5. Step 5: Solve for x
    x = 4,844,972.00/3,412.53
  6. Step 6: Final answer
    x = 1,419.76

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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.