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Finding the Fourth Proportional to 35,792, 49,398.80 and 20,885.12

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Solution

The fourth proportional to 35,792, 49,398.80 and 20,885.12 is: 28,824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,792 : 49,398.80 = 20,885.12 : x
  2. Step 2: Convert to fraction form
    35,792/49,398.80 = 20,885.12/x
  3. Step 3: Cross multiply
    35,792x = 49,398.80 × 20,885.12
  4. Step 4: Simplify right side
    35,792x = 1,031,699,865.86
  5. Step 5: Solve for x
    x = 1,031,699,865.86/35,792
  6. Step 6: Final answer
    x = 28,824.87

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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.