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Finding the Fourth Proportional to 19,231.50, 28,859.40 and 14,857.50

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Solution

The fourth proportional to 19,231.50, 28,859.40 and 14,857.50 is: 22,295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,231.50 : 28,859.40 = 14,857.50 : x
  2. Step 2: Convert to fraction form
    19,231.50/28,859.40 = 14,857.50/x
  3. Step 3: Cross multiply
    19,231.50x = 28,859.40 × 14,857.50
  4. Step 4: Simplify right side
    19,231.50x = 428,778,535.50
  5. Step 5: Solve for x
    x = 428,778,535.50/19,231.50
  6. Step 6: Final answer
    x = 22,295.64

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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.