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Finding the Fourth Proportional to 15,835.74, 21,854.43 and 8,762.46

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Solution

The fourth proportional to 15,835.74, 21,854.43 and 8,762.46 is: 12,092.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,835.74 : 21,854.43 = 8,762.46 : x
  2. Step 2: Convert to fraction form
    15,835.74/21,854.43 = 8,762.46/x
  3. Step 3: Cross multiply
    15,835.74x = 21,854.43 × 8,762.46
  4. Step 4: Simplify right side
    15,835.74x = 191,498,568.70
  5. Step 5: Solve for x
    x = 191,498,568.70/15,835.74
  6. Step 6: Final answer
    x = 12,092.81

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Why These Related Problems?

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