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Finding the Fourth Proportional to 15,682.74, 23,502 and 8,665.92

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Solution

The fourth proportional to 15,682.74, 23,502 and 8,665.92 is: 12,986.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,682.74 : 23,502 = 8,665.92 : x
  2. Step 2: Convert to fraction form
    15,682.74/23,502 = 8,665.92/x
  3. Step 3: Cross multiply
    15,682.74x = 23,502 × 8,665.92
  4. Step 4: Simplify right side
    15,682.74x = 203,666,451.84
  5. Step 5: Solve for x
    x = 203,666,451.84/15,682.74
  6. Step 6: Final answer
    x = 12,986.66

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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.