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Finding the Fourth Proportional to 35,317, 48,741.78 and 20,413

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Solution

The fourth proportional to 35,317, 48,741.78 and 20,413 is: 28,172.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,317 : 48,741.78 = 20,413 : x
  2. Step 2: Convert to fraction form
    35,317/48,741.78 = 20,413/x
  3. Step 3: Cross multiply
    35,317x = 48,741.78 × 20,413
  4. Step 4: Simplify right side
    35,317x = 994,965,955.14
  5. Step 5: Solve for x
    x = 994,965,955.14/35,317
  6. Step 6: Final answer
    x = 28,172.44

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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.