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Finding the Fourth Proportional to 21,905.64, 30,232.04 and 13,413.47

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Solution

The fourth proportional to 21,905.64, 30,232.04 and 13,413.47 is: 18,511.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,905.64 : 30,232.04 = 13,413.47 : x
  2. Step 2: Convert to fraction form
    21,905.64/30,232.04 = 13,413.47/x
  3. Step 3: Cross multiply
    21,905.64x = 30,232.04 × 13,413.47
  4. Step 4: Simplify right side
    21,905.64x = 405,516,343.35
  5. Step 5: Solve for x
    x = 405,516,343.35/21,905.64
  6. Step 6: Final answer
    x = 18,511.96

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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.