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Finding the Fourth Proportional to 14,227.16, 21,342.90 and 4,991

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Solution

The fourth proportional to 14,227.16, 21,342.90 and 4,991 is: 7,487.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,227.16 : 21,342.90 = 4,991 : x
  2. Step 2: Convert to fraction form
    14,227.16/21,342.90 = 4,991/x
  3. Step 3: Cross multiply
    14,227.16x = 21,342.90 × 4,991
  4. Step 4: Simplify right side
    14,227.16x = 106,522,413.90
  5. Step 5: Solve for x
    x = 106,522,413.90/14,227.16
  6. Step 6: Final answer
    x = 7,487.26

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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.