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Finding the Fourth Proportional to 20,308.16, 30,378 and 19,064

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Solution

The fourth proportional to 20,308.16, 30,378 and 19,064 is: 28,516.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,308.16 : 30,378 = 19,064 : x
  2. Step 2: Convert to fraction form
    20,308.16/30,378 = 19,064/x
  3. Step 3: Cross multiply
    20,308.16x = 30,378 × 19,064
  4. Step 4: Simplify right side
    20,308.16x = 579,126,192
  5. Step 5: Solve for x
    x = 579,126,192/20,308.16
  6. Step 6: Final answer
    x = 28,516.92

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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.