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Finding the Fourth Proportional to 5,170.86, 7,756.29 and 1,883.98

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Solution

The fourth proportional to 5,170.86, 7,756.29 and 1,883.98 is: 2,825.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.86 : 7,756.29 = 1,883.98 : x
  2. Step 2: Convert to fraction form
    5,170.86/7,756.29 = 1,883.98/x
  3. Step 3: Cross multiply
    5,170.86x = 7,756.29 × 1,883.98
  4. Step 4: Simplify right side
    5,170.86x = 14,612,695.23
  5. Step 5: Solve for x
    x = 14,612,695.23/5,170.86
  6. Step 6: Final answer
    x = 2,825.97

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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.