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Finding the Fourth Proportional to 14,609, 20,160.42 and 9,020

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Solution

The fourth proportional to 14,609, 20,160.42 and 9,020 is: 12,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,609 : 20,160.42 = 9,020 : x
  2. Step 2: Convert to fraction form
    14,609/20,160.42 = 9,020/x
  3. Step 3: Cross multiply
    14,609x = 20,160.42 × 9,020
  4. Step 4: Simplify right side
    14,609x = 181,846,988.40
  5. Step 5: Solve for x
    x = 181,846,988.40/14,609
  6. Step 6: Final answer
    x = 12,447.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.