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Finding the Fourth Proportional to 20,587.84, 30,875.70 and 8,741.44

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Solution

The fourth proportional to 20,587.84, 30,875.70 and 8,741.44 is: 13,109.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,587.84 : 30,875.70 = 8,741.44 : x
  2. Step 2: Convert to fraction form
    20,587.84/30,875.70 = 8,741.44/x
  3. Step 3: Cross multiply
    20,587.84x = 30,875.70 × 8,741.44
  4. Step 4: Simplify right side
    20,587.84x = 269,898,079.01
  5. Step 5: Solve for x
    x = 269,898,079.01/20,587.84
  6. Step 6: Final answer
    x = 13,109.59

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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.