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Finding the Fourth Proportional to 5,102.59, 7,652.87 and 1,403.86

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Solution

The fourth proportional to 5,102.59, 7,652.87 and 1,403.86 is: 2,105.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.59 : 7,652.87 = 1,403.86 : x
  2. Step 2: Convert to fraction form
    5,102.59/7,652.87 = 1,403.86/x
  3. Step 3: Cross multiply
    5,102.59x = 7,652.87 × 1,403.86
  4. Step 4: Simplify right side
    5,102.59x = 10,743,558.08
  5. Step 5: Solve for x
    x = 10,743,558.08/5,102.59
  6. Step 6: Final answer
    x = 2,105.51

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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.