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Finding the Fourth Proportional to 15,238.50, 21,032.01 and 8,614.50

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Solution

The fourth proportional to 15,238.50, 21,032.01 and 8,614.50 is: 11,889.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,238.50 : 21,032.01 = 8,614.50 : x
  2. Step 2: Convert to fraction form
    15,238.50/21,032.01 = 8,614.50/x
  3. Step 3: Cross multiply
    15,238.50x = 21,032.01 × 8,614.50
  4. Step 4: Simplify right side
    15,238.50x = 181,180,250.15
  5. Step 5: Solve for x
    x = 181,180,250.15/15,238.50
  6. Step 6: Final answer
    x = 11,889.64

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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.