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Finding the Fourth Proportional to 1,880.24, 2,819.77 and 784.33

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Solution

The fourth proportional to 1,880.24, 2,819.77 and 784.33 is: 1,176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.24 : 2,819.77 = 784.33 : x
  2. Step 2: Convert to fraction form
    1,880.24/2,819.77 = 784.33/x
  3. Step 3: Cross multiply
    1,880.24x = 2,819.77 × 784.33
  4. Step 4: Simplify right side
    1,880.24x = 2,211,621.19
  5. Step 5: Solve for x
    x = 2,211,621.19/1,880.24
  6. Step 6: Final answer
    x = 1,176.25

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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.