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Finding the Fourth Proportional to 20,412.56, 30,616.52 and 7,083.10

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Solution

The fourth proportional to 20,412.56, 30,616.52 and 7,083.10 is: 10,623.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,412.56 : 30,616.52 = 7,083.10 : x
  2. Step 2: Convert to fraction form
    20,412.56/30,616.52 = 7,083.10/x
  3. Step 3: Cross multiply
    20,412.56x = 30,616.52 × 7,083.10
  4. Step 4: Simplify right side
    20,412.56x = 216,859,872.81
  5. Step 5: Solve for x
    x = 216,859,872.81/20,412.56
  6. Step 6: Final answer
    x = 10,623.84

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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.