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Finding the Fourth Proportional to 19,188, 28,782 and 5,337.36

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Solution

The fourth proportional to 19,188, 28,782 and 5,337.36 is: 8,006.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,188 : 28,782 = 5,337.36 : x
  2. Step 2: Convert to fraction form
    19,188/28,782 = 5,337.36/x
  3. Step 3: Cross multiply
    19,188x = 28,782 × 5,337.36
  4. Step 4: Simplify right side
    19,188x = 153,619,895.52
  5. Step 5: Solve for x
    x = 153,619,895.52/19,188
  6. Step 6: Final answer
    x = 8,006.04

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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.