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Finding the Fourth Proportional to 19,098.50, 28,649.37 and 5,247.50

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Solution

The fourth proportional to 19,098.50, 28,649.37 and 5,247.50 is: 7,871.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,098.50 : 28,649.37 = 5,247.50 : x
  2. Step 2: Convert to fraction form
    19,098.50/28,649.37 = 5,247.50/x
  3. Step 3: Cross multiply
    19,098.50x = 28,649.37 × 5,247.50
  4. Step 4: Simplify right side
    19,098.50x = 150,337,569.08
  5. Step 5: Solve for x
    x = 150,337,569.08/19,098.50
  6. Step 6: Final answer
    x = 7,871.70

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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.