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Finding the Fourth Proportional to 35,792, 49,392.96 and 20,888

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Solution

The fourth proportional to 35,792, 49,392.96 and 20,888 is: 28,825.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,792 : 49,392.96 = 20,888 : x
  2. Step 2: Convert to fraction form
    35,792/49,392.96 = 20,888/x
  3. Step 3: Cross multiply
    35,792x = 49,392.96 × 20,888
  4. Step 4: Simplify right side
    35,792x = 1,031,720,148.48
  5. Step 5: Solve for x
    x = 1,031,720,148.48/35,792
  6. Step 6: Final answer
    x = 28,825.44

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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.