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Finding the Fourth Proportional to 20,563.68, 30,825.90 and 9,477.84

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Solution

The fourth proportional to 20,563.68, 30,825.90 and 9,477.84 is: 14,207.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,563.68 : 30,825.90 = 9,477.84 : x
  2. Step 2: Convert to fraction form
    20,563.68/30,825.90 = 9,477.84/x
  3. Step 3: Cross multiply
    20,563.68x = 30,825.90 × 9,477.84
  4. Step 4: Simplify right side
    20,563.68x = 292,162,948.06
  5. Step 5: Solve for x
    x = 292,162,948.06/20,563.68
  6. Step 6: Final answer
    x = 14,207.72

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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.