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Finding the Fourth Proportional to 5,213.32, 7,820.01 and 1,317.74

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Solution

The fourth proportional to 5,213.32, 7,820.01 and 1,317.74 is: 1,976.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.32 : 7,820.01 = 1,317.74 : x
  2. Step 2: Convert to fraction form
    5,213.32/7,820.01 = 1,317.74/x
  3. Step 3: Cross multiply
    5,213.32x = 7,820.01 × 1,317.74
  4. Step 4: Simplify right side
    5,213.32x = 10,304,700.88
  5. Step 5: Solve for x
    x = 10,304,700.88/5,213.32
  6. Step 6: Final answer
    x = 1,976.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.