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Finding the Fourth Proportional to 20,124.48, 30,193.92 and 9,030

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Solution

The fourth proportional to 20,124.48, 30,193.92 and 9,030 is: 13,548.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,124.48 : 30,193.92 = 9,030 : x
  2. Step 2: Convert to fraction form
    20,124.48/30,193.92 = 9,030/x
  3. Step 3: Cross multiply
    20,124.48x = 30,193.92 × 9,030
  4. Step 4: Simplify right side
    20,124.48x = 272,651,097.60
  5. Step 5: Solve for x
    x = 272,651,097.60/20,124.48
  6. Step 6: Final answer
    x = 13,548.23

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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.