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Finding the Fourth Proportional to 14,415.17, 19,894.86 and 8,449.21

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Solution

The fourth proportional to 14,415.17, 19,894.86 and 8,449.21 is: 11,661.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,415.17 : 19,894.86 = 8,449.21 : x
  2. Step 2: Convert to fraction form
    14,415.17/19,894.86 = 8,449.21/x
  3. Step 3: Cross multiply
    14,415.17x = 19,894.86 × 8,449.21
  4. Step 4: Simplify right side
    14,415.17x = 168,095,850.06
  5. Step 5: Solve for x
    x = 168,095,850.06/14,415.17
  6. Step 6: Final answer
    x = 11,661.04

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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.