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Finding the Fourth Proportional to 19,187.52, 28,784.91 and 7,500

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Solution

The fourth proportional to 19,187.52, 28,784.91 and 7,500 is: 11,251.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,187.52 : 28,784.91 = 7,500 : x
  2. Step 2: Convert to fraction form
    19,187.52/28,784.91 = 7,500/x
  3. Step 3: Cross multiply
    19,187.52x = 28,784.91 × 7,500
  4. Step 4: Simplify right side
    19,187.52x = 215,886,825
  5. Step 5: Solve for x
    x = 215,886,825/19,187.52
  6. Step 6: Final answer
    x = 11,251.42

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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.