Home / 3,138.32-4,706.28-946.40

Finding the Fourth Proportional to 3,138.32, 4,706.28 and 946.40

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Solution

The fourth proportional to 3,138.32, 4,706.28 and 946.40 is: 1,419.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.32 : 4,706.28 = 946.40 : x
  2. Step 2: Convert to fraction form
    3,138.32/4,706.28 = 946.40/x
  3. Step 3: Cross multiply
    3,138.32x = 4,706.28 × 946.40
  4. Step 4: Simplify right side
    3,138.32x = 4,454,023.39
  5. Step 5: Solve for x
    x = 4,454,023.39/3,138.32
  6. Step 6: Final answer
    x = 1,419.24

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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.