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Finding the Fourth Proportional to 15,808.50, 21,813.84 and 8,733.96

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Solution

The fourth proportional to 15,808.50, 21,813.84 and 8,733.96 is: 12,051.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,808.50 : 21,813.84 = 8,733.96 : x
  2. Step 2: Convert to fraction form
    15,808.50/21,813.84 = 8,733.96/x
  3. Step 3: Cross multiply
    15,808.50x = 21,813.84 × 8,733.96
  4. Step 4: Simplify right side
    15,808.50x = 190,521,206.01
  5. Step 5: Solve for x
    x = 190,521,206.01/15,808.50
  6. Step 6: Final answer
    x = 12,051.82

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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.