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Finding the Fourth Proportional to 37,657.71, 51,968.16 and 20,661.64

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Solution

The fourth proportional to 37,657.71, 51,968.16 and 20,661.64 is: 28,513.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,657.71 : 51,968.16 = 20,661.64 : x
  2. Step 2: Convert to fraction form
    37,657.71/51,968.16 = 20,661.64/x
  3. Step 3: Cross multiply
    37,657.71x = 51,968.16 × 20,661.64
  4. Step 4: Simplify right side
    37,657.71x = 1,073,747,413.38
  5. Step 5: Solve for x
    x = 1,073,747,413.38/37,657.71
  6. Step 6: Final answer
    x = 28,513.35

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1.5x scale

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.