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Finding the Fourth Proportional to 5,269.86, 7,897.50 and 4,485.78

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Solution

The fourth proportional to 5,269.86, 7,897.50 and 4,485.78 is: 6,722.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.86 : 7,897.50 = 4,485.78 : x
  2. Step 2: Convert to fraction form
    5,269.86/7,897.50 = 4,485.78/x
  3. Step 3: Cross multiply
    5,269.86x = 7,897.50 × 4,485.78
  4. Step 4: Simplify right side
    5,269.86x = 35,426,447.55
  5. Step 5: Solve for x
    x = 35,426,447.55/5,269.86
  6. Step 6: Final answer
    x = 6,722.46

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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.