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Finding the Fourth Proportional to 5,102.98, 7,652.94 and 1,815.64

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Solution

The fourth proportional to 5,102.98, 7,652.94 and 1,815.64 is: 2,722.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.98 : 7,652.94 = 1,815.64 : x
  2. Step 2: Convert to fraction form
    5,102.98/7,652.94 = 1,815.64/x
  3. Step 3: Cross multiply
    5,102.98x = 7,652.94 × 1,815.64
  4. Step 4: Simplify right side
    5,102.98x = 13,894,983.98
  5. Step 5: Solve for x
    x = 13,894,983.98/5,102.98
  6. Step 6: Final answer
    x = 2,722.92

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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.