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Finding the Fourth Proportional to 1,880.22, 2,820.80 and 784.02

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Solution

The fourth proportional to 1,880.22, 2,820.80 and 784.02 is: 1,176.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.22 : 2,820.80 = 784.02 : x
  2. Step 2: Convert to fraction form
    1,880.22/2,820.80 = 784.02/x
  3. Step 3: Cross multiply
    1,880.22x = 2,820.80 × 784.02
  4. Step 4: Simplify right side
    1,880.22x = 2,211,563.62
  5. Step 5: Solve for x
    x = 2,211,563.62/1,880.22
  6. Step 6: Final answer
    x = 1,176.23

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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.