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Finding the Fourth Proportional to 8,713.72, 12,023.58 and 5,176.84

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Solution

The fourth proportional to 8,713.72, 12,023.58 and 5,176.84 is: 7,143.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.72 : 12,023.58 = 5,176.84 : x
  2. Step 2: Convert to fraction form
    8,713.72/12,023.58 = 5,176.84/x
  3. Step 3: Cross multiply
    8,713.72x = 12,023.58 × 5,176.84
  4. Step 4: Simplify right side
    8,713.72x = 62,244,149.89
  5. Step 5: Solve for x
    x = 62,244,149.89/8,713.72
  6. Step 6: Final answer
    x = 7,143.24

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