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Finding the Fourth Proportional to 8,379.86, 11,564.34 and 4,603.38

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Solution

The fourth proportional to 8,379.86, 11,564.34 and 4,603.38 is: 6,352.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,379.86 : 11,564.34 = 4,603.38 : x
  2. Step 2: Convert to fraction form
    8,379.86/11,564.34 = 4,603.38/x
  3. Step 3: Cross multiply
    8,379.86x = 11,564.34 × 4,603.38
  4. Step 4: Simplify right side
    8,379.86x = 53,235,094.73
  5. Step 5: Solve for x
    x = 53,235,094.73/8,379.86
  6. Step 6: Final answer
    x = 6,352.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.