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Finding the Fourth Proportional to 35,221, 48,606.42 and 20,317

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Solution

The fourth proportional to 35,221, 48,606.42 and 20,317 is: 28,038.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,221 : 48,606.42 = 20,317 : x
  2. Step 2: Convert to fraction form
    35,221/48,606.42 = 20,317/x
  3. Step 3: Cross multiply
    35,221x = 48,606.42 × 20,317
  4. Step 4: Simplify right side
    35,221x = 987,536,635.14
  5. Step 5: Solve for x
    x = 987,536,635.14/35,221
  6. Step 6: Final answer
    x = 28,038.29

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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.