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Finding the Fourth Proportional to 20,464.76, 30,669.12 and 15,463.01

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Solution

The fourth proportional to 20,464.76, 30,669.12 and 15,463.01 is: 23,173.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,464.76 : 30,669.12 = 15,463.01 : x
  2. Step 2: Convert to fraction form
    20,464.76/30,669.12 = 15,463.01/x
  3. Step 3: Cross multiply
    20,464.76x = 30,669.12 × 15,463.01
  4. Step 4: Simplify right side
    20,464.76x = 474,236,909.25
  5. Step 5: Solve for x
    x = 474,236,909.25/20,464.76
  6. Step 6: Final answer
    x = 23,173.34

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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.