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Finding the Fourth Proportional to 42,580.84, 63,866.40 and 11,413.66

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Solution

The fourth proportional to 42,580.84, 63,866.40 and 11,413.66 is: 17,119.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,580.84 : 63,866.40 = 11,413.66 : x
  2. Step 2: Convert to fraction form
    42,580.84/63,866.40 = 11,413.66/x
  3. Step 3: Cross multiply
    42,580.84x = 63,866.40 × 11,413.66
  4. Step 4: Simplify right side
    42,580.84x = 728,949,375.02
  5. Step 5: Solve for x
    x = 728,949,375.02/42,580.84
  6. Step 6: Final answer
    x = 17,119.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.