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Finding the Fourth Proportional to 14,121.16, 19,489.74 and 8,152

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Solution

The fourth proportional to 14,121.16, 19,489.74 and 8,152 is: 11,251.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,121.16 : 19,489.74 = 8,152 : x
  2. Step 2: Convert to fraction form
    14,121.16/19,489.74 = 8,152/x
  3. Step 3: Cross multiply
    14,121.16x = 19,489.74 × 8,152
  4. Step 4: Simplify right side
    14,121.16x = 158,880,360.48
  5. Step 5: Solve for x
    x = 158,880,360.48/14,121.16
  6. Step 6: Final answer
    x = 11,251.23

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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.