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Finding the Fourth Proportional to 8,384.69, 12,565.26 and 6,621.93

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Solution

The fourth proportional to 8,384.69, 12,565.26 and 6,621.93 is: 9,923.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.69 : 12,565.26 = 6,621.93 : x
  2. Step 2: Convert to fraction form
    8,384.69/12,565.26 = 6,621.93/x
  3. Step 3: Cross multiply
    8,384.69x = 12,565.26 × 6,621.93
  4. Step 4: Simplify right side
    8,384.69x = 83,206,272.15
  5. Step 5: Solve for x
    x = 83,206,272.15/8,384.69
  6. Step 6: Final answer
    x = 9,923.59

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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.