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Finding the Fourth Proportional to 2,516.80, 3,774.66 and 784.48

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Solution

The fourth proportional to 2,516.80, 3,774.66 and 784.48 is: 1,176.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.80 : 3,774.66 = 784.48 : x
  2. Step 2: Convert to fraction form
    2,516.80/3,774.66 = 784.48/x
  3. Step 3: Cross multiply
    2,516.80x = 3,774.66 × 784.48
  4. Step 4: Simplify right side
    2,516.80x = 2,961,145.28
  5. Step 5: Solve for x
    x = 2,961,145.28/2,516.80
  6. Step 6: Final answer
    x = 1,176.55

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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.