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Finding the Fourth Proportional to 20,955.64, 31,413.66 and 7,799.08

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Solution

The fourth proportional to 20,955.64, 31,413.66 and 7,799.08 is: 11,691.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,955.64 : 31,413.66 = 7,799.08 : x
  2. Step 2: Convert to fraction form
    20,955.64/31,413.66 = 7,799.08/x
  3. Step 3: Cross multiply
    20,955.64x = 31,413.66 × 7,799.08
  4. Step 4: Simplify right side
    20,955.64x = 244,997,647.43
  5. Step 5: Solve for x
    x = 244,997,647.43/20,955.64
  6. Step 6: Final answer
    x = 11,691.25

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1.5x scale

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.