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Finding the Fourth Proportional to 20,323.64, 30,463.21 and 10,463.46

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Solution

The fourth proportional to 20,323.64, 30,463.21 and 10,463.46 is: 15,683.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,323.64 : 30,463.21 = 10,463.46 : x
  2. Step 2: Convert to fraction form
    20,323.64/30,463.21 = 10,463.46/x
  3. Step 3: Cross multiply
    20,323.64x = 30,463.21 × 10,463.46
  4. Step 4: Simplify right side
    20,323.64x = 318,750,579.31
  5. Step 5: Solve for x
    x = 318,750,579.31/20,323.64
  6. Step 6: Final answer
    x = 15,683.73

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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.