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Finding the Fourth Proportional to 35,807.78, 49,413.06 and 19,893.20

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Solution

The fourth proportional to 35,807.78, 49,413.06 and 19,893.20 is: 27,451.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,807.78 : 49,413.06 = 19,893.20 : x
  2. Step 2: Convert to fraction form
    35,807.78/49,413.06 = 19,893.20/x
  3. Step 3: Cross multiply
    35,807.78x = 49,413.06 × 19,893.20
  4. Step 4: Simplify right side
    35,807.78x = 982,983,885.19
  5. Step 5: Solve for x
    x = 982,983,885.19/35,807.78
  6. Step 6: Final answer
    x = 27,451.68

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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.