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Finding the Fourth Proportional to 5,114.37, 7,671.21 and 1,365.86

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Solution

The fourth proportional to 5,114.37, 7,671.21 and 1,365.86 is: 2,048.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.37 : 7,671.21 = 1,365.86 : x
  2. Step 2: Convert to fraction form
    5,114.37/7,671.21 = 1,365.86/x
  3. Step 3: Cross multiply
    5,114.37x = 7,671.21 × 1,365.86
  4. Step 4: Simplify right side
    5,114.37x = 10,477,812.95
  5. Step 5: Solve for x
    x = 10,477,812.95/5,114.37
  6. Step 6: Final answer
    x = 2,048.70

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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.