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Finding the Fourth Proportional to 15,893.76, 21,933.84 and 8,724

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Solution

The fourth proportional to 15,893.76, 21,933.84 and 8,724 is: 12,039.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,893.76 : 21,933.84 = 8,724 : x
  2. Step 2: Convert to fraction form
    15,893.76/21,933.84 = 8,724/x
  3. Step 3: Cross multiply
    15,893.76x = 21,933.84 × 8,724
  4. Step 4: Simplify right side
    15,893.76x = 191,350,820.16
  5. Step 5: Solve for x
    x = 191,350,820.16/15,893.76
  6. Step 6: Final answer
    x = 12,039.37

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1.5x scale

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.