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Finding the Fourth Proportional to 5,077.86, 7,616.78 and 1,790.16

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Solution

The fourth proportional to 5,077.86, 7,616.78 and 1,790.16 is: 2,685.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.86 : 7,616.78 = 1,790.16 : x
  2. Step 2: Convert to fraction form
    5,077.86/7,616.78 = 1,790.16/x
  3. Step 3: Cross multiply
    5,077.86x = 7,616.78 × 1,790.16
  4. Step 4: Simplify right side
    5,077.86x = 13,635,245.93
  5. Step 5: Solve for x
    x = 13,635,245.93/5,077.86
  6. Step 6: Final answer
    x = 2,685.23

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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.