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Finding the Fourth Proportional to 14,619.84, 21,920.16 and 5,255.16

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Solution

The fourth proportional to 14,619.84, 21,920.16 and 5,255.16 is: 7,879.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,619.84 : 21,920.16 = 5,255.16 : x
  2. Step 2: Convert to fraction form
    14,619.84/21,920.16 = 5,255.16/x
  3. Step 3: Cross multiply
    14,619.84x = 21,920.16 × 5,255.16
  4. Step 4: Simplify right side
    14,619.84x = 115,193,948.03
  5. Step 5: Solve for x
    x = 115,193,948.03/14,619.84
  6. Step 6: Final answer
    x = 7,879.29

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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.