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Finding the Fourth Proportional to 20,374.90, 30,569.01 and 9,846.14

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Solution

The fourth proportional to 20,374.90, 30,569.01 and 9,846.14 is: 14,772.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,374.90 : 30,569.01 = 9,846.14 : x
  2. Step 2: Convert to fraction form
    20,374.90/30,569.01 = 9,846.14/x
  3. Step 3: Cross multiply
    20,374.90x = 30,569.01 × 9,846.14
  4. Step 4: Simplify right side
    20,374.90x = 300,986,617.74
  5. Step 5: Solve for x
    x = 300,986,617.74/20,374.90
  6. Step 6: Final answer
    x = 14,772.42

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1.5x scale

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.