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Finding the Fourth Proportional to 5,219.54, 7,827.71 and 2,097.90

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Solution

The fourth proportional to 5,219.54, 7,827.71 and 2,097.90 is: 3,146.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.54 : 7,827.71 = 2,097.90 : x
  2. Step 2: Convert to fraction form
    5,219.54/7,827.71 = 2,097.90/x
  3. Step 3: Cross multiply
    5,219.54x = 7,827.71 × 2,097.90
  4. Step 4: Simplify right side
    5,219.54x = 16,421,742.32
  5. Step 5: Solve for x
    x = 16,421,742.32/5,219.54
  6. Step 6: Final answer
    x = 3,146.21

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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.