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Finding the Fourth Proportional to 21,783.52, 30,061.24 and 11,847.52

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Solution

The fourth proportional to 21,783.52, 30,061.24 and 11,847.52 is: 16,349.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,783.52 : 30,061.24 = 11,847.52 : x
  2. Step 2: Convert to fraction form
    21,783.52/30,061.24 = 11,847.52/x
  3. Step 3: Cross multiply
    21,783.52x = 30,061.24 × 11,847.52
  4. Step 4: Simplify right side
    21,783.52x = 356,151,142.12
  5. Step 5: Solve for x
    x = 356,151,142.12/21,783.52
  6. Step 6: Final answer
    x = 16,349.57

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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.