Home / 1,920.32-2,880.65-824.43

Finding the Fourth Proportional to 1,920.32, 2,880.65 and 824.43

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Solution

The fourth proportional to 1,920.32, 2,880.65 and 824.43 is: 1,236.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.32 : 2,880.65 = 824.43 : x
  2. Step 2: Convert to fraction form
    1,920.32/2,880.65 = 824.43/x
  3. Step 3: Cross multiply
    1,920.32x = 2,880.65 × 824.43
  4. Step 4: Simplify right side
    1,920.32x = 2,374,894.28
  5. Step 5: Solve for x
    x = 2,374,894.28/1,920.32
  6. Step 6: Final answer
    x = 1,236.72

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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.