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Finding the Fourth Proportional to 14,565.29, 21,831.90 and 8,311.65

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Solution

The fourth proportional to 14,565.29, 21,831.90 and 8,311.65 is: 12,458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,565.29 : 21,831.90 = 8,311.65 : x
  2. Step 2: Convert to fraction form
    14,565.29/21,831.90 = 8,311.65/x
  3. Step 3: Cross multiply
    14,565.29x = 21,831.90 × 8,311.65
  4. Step 4: Simplify right side
    14,565.29x = 181,458,998.60
  5. Step 5: Solve for x
    x = 181,458,998.60/14,565.29
  6. Step 6: Final answer
    x = 12,458.32

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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.