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Finding the Fourth Proportional to 3,868.86, 5,803.28 and 1,403.67

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Solution

The fourth proportional to 3,868.86, 5,803.28 and 1,403.67 is: 2,105.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.86 : 5,803.28 = 1,403.67 : x
  2. Step 2: Convert to fraction form
    3,868.86/5,803.28 = 1,403.67/x
  3. Step 3: Cross multiply
    3,868.86x = 5,803.28 × 1,403.67
  4. Step 4: Simplify right side
    3,868.86x = 8,145,854.00
  5. Step 5: Solve for x
    x = 8,145,854.00/3,868.86
  6. Step 6: Final answer
    x = 2,105.49

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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.