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Finding the Fourth Proportional to 15,863.83, 23,779 and 5,323.86

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Solution

The fourth proportional to 15,863.83, 23,779 and 5,323.86 is: 7,980.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,863.83 : 23,779 = 5,323.86 : x
  2. Step 2: Convert to fraction form
    15,863.83/23,779 = 5,323.86/x
  3. Step 3: Cross multiply
    15,863.83x = 23,779 × 5,323.86
  4. Step 4: Simplify right side
    15,863.83x = 126,596,066.94
  5. Step 5: Solve for x
    x = 126,596,066.94/15,863.83
  6. Step 6: Final answer
    x = 7,980.17

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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.