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Finding the Fourth Proportional to 35,497, 48,989.16 and 20,391.76

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Solution

The fourth proportional to 35,497, 48,989.16 and 20,391.76 is: 28,142.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,497 : 48,989.16 = 20,391.76 : x
  2. Step 2: Convert to fraction form
    35,497/48,989.16 = 20,391.76/x
  3. Step 3: Cross multiply
    35,497x = 48,989.16 × 20,391.76
  4. Step 4: Simplify right side
    35,497x = 998,975,193.32
  5. Step 5: Solve for x
    x = 998,975,193.32/35,497
  6. Step 6: Final answer
    x = 28,142.52

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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.