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Finding the Fourth Proportional to 35,401.64, 48,846.42 and 20,489

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Solution

The fourth proportional to 35,401.64, 48,846.42 and 20,489 is: 28,270.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,401.64 : 48,846.42 = 20,489 : x
  2. Step 2: Convert to fraction form
    35,401.64/48,846.42 = 20,489/x
  3. Step 3: Cross multiply
    35,401.64x = 48,846.42 × 20,489
  4. Step 4: Simplify right side
    35,401.64x = 1,000,814,299.38
  5. Step 5: Solve for x
    x = 1,000,814,299.38/35,401.64
  6. Step 6: Final answer
    x = 28,270.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.