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Finding the Fourth Proportional to 5,314.77, 7,971.89 and 2,193.98

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Solution

The fourth proportional to 5,314.77, 7,971.89 and 2,193.98 is: 3,290.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.77 : 7,971.89 = 2,193.98 : x
  2. Step 2: Convert to fraction form
    5,314.77/7,971.89 = 2,193.98/x
  3. Step 3: Cross multiply
    5,314.77x = 7,971.89 × 2,193.98
  4. Step 4: Simplify right side
    5,314.77x = 17,490,116.39
  5. Step 5: Solve for x
    x = 17,490,116.39/5,314.77
  6. Step 6: Final answer
    x = 3,290.85

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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.