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Finding the Fourth Proportional to 15,871.72, 21,893.04 and 10,213.82

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Solution

The fourth proportional to 15,871.72, 21,893.04 and 10,213.82 is: 14,088.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,871.72 : 21,893.04 = 10,213.82 : x
  2. Step 2: Convert to fraction form
    15,871.72/21,893.04 = 10,213.82/x
  3. Step 3: Cross multiply
    15,871.72x = 21,893.04 × 10,213.82
  4. Step 4: Simplify right side
    15,871.72x = 223,611,569.81
  5. Step 5: Solve for x
    x = 223,611,569.81/15,871.72
  6. Step 6: Final answer
    x = 14,088.68

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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.