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Finding the Fourth Proportional to 5,214.72, 7,822.18 and 1,704.74

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Solution

The fourth proportional to 5,214.72, 7,822.18 and 1,704.74 is: 2,557.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.72 : 7,822.18 = 1,704.74 : x
  2. Step 2: Convert to fraction form
    5,214.72/7,822.18 = 1,704.74/x
  3. Step 3: Cross multiply
    5,214.72x = 7,822.18 × 1,704.74
  4. Step 4: Simplify right side
    5,214.72x = 13,334,783.13
  5. Step 5: Solve for x
    x = 13,334,783.13/5,214.72
  6. Step 6: Final answer
    x = 2,557.14

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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.