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Finding the Fourth Proportional to 15,835.80, 21,847.04 and 9,117.82

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Solution

The fourth proportional to 15,835.80, 21,847.04 and 9,117.82 is: 12,578.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,835.80 : 21,847.04 = 9,117.82 : x
  2. Step 2: Convert to fraction form
    15,835.80/21,847.04 = 9,117.82/x
  3. Step 3: Cross multiply
    15,835.80x = 21,847.04 × 9,117.82
  4. Step 4: Simplify right side
    15,835.80x = 199,197,378.25
  5. Step 5: Solve for x
    x = 199,197,378.25/15,835.80
  6. Step 6: Final answer
    x = 12,578.93

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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.