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Finding the Fourth Proportional to 19,302, 28,953 and 5,451.36

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Solution

The fourth proportional to 19,302, 28,953 and 5,451.36 is: 8,177.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,302 : 28,953 = 5,451.36 : x
  2. Step 2: Convert to fraction form
    19,302/28,953 = 5,451.36/x
  3. Step 3: Cross multiply
    19,302x = 28,953 × 5,451.36
  4. Step 4: Simplify right side
    19,302x = 157,833,226.08
  5. Step 5: Solve for x
    x = 157,833,226.08/19,302
  6. Step 6: Final answer
    x = 8,177.04

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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.