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Finding the Fourth Proportional to 19,669.50, 29,508.57 and 7,357.50

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Solution

The fourth proportional to 19,669.50, 29,508.57 and 7,357.50 is: 11,037.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,669.50 : 29,508.57 = 7,357.50 : x
  2. Step 2: Convert to fraction form
    19,669.50/29,508.57 = 7,357.50/x
  3. Step 3: Cross multiply
    19,669.50x = 29,508.57 × 7,357.50
  4. Step 4: Simplify right side
    19,669.50x = 217,109,303.78
  5. Step 5: Solve for x
    x = 217,109,303.78/19,669.50
  6. Step 6: Final answer
    x = 11,037.87

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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.