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Finding the Fourth Proportional to 35,608, 49,137.12 and 19,691.60

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Solution

The fourth proportional to 35,608, 49,137.12 and 19,691.60 is: 27,173.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,608 : 49,137.12 = 19,691.60 : x
  2. Step 2: Convert to fraction form
    35,608/49,137.12 = 19,691.60/x
  3. Step 3: Cross multiply
    35,608x = 49,137.12 × 19,691.60
  4. Step 4: Simplify right side
    35,608x = 967,588,512.19
  5. Step 5: Solve for x
    x = 967,588,512.19/35,608
  6. Step 6: Final answer
    x = 27,173.35

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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.