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Finding the Fourth Proportional to 1,920.18, 2,880.90 and 946.20

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Solution

The fourth proportional to 1,920.18, 2,880.90 and 946.20 is: 1,419.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.18 : 2,880.90 = 946.20 : x
  2. Step 2: Convert to fraction form
    1,920.18/2,880.90 = 946.20/x
  3. Step 3: Cross multiply
    1,920.18x = 2,880.90 × 946.20
  4. Step 4: Simplify right side
    1,920.18x = 2,725,907.58
  5. Step 5: Solve for x
    x = 2,725,907.58/1,920.18
  6. Step 6: Final answer
    x = 1,419.61

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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.