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Finding the Fourth Proportional to 14,285, 21,441.36 and 6,894.66

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Solution

The fourth proportional to 14,285, 21,441.36 and 6,894.66 is: 10,348.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,285 : 21,441.36 = 6,894.66 : x
  2. Step 2: Convert to fraction form
    14,285/21,441.36 = 6,894.66/x
  3. Step 3: Cross multiply
    14,285x = 21,441.36 × 6,894.66
  4. Step 4: Simplify right side
    14,285x = 147,830,887.14
  5. Step 5: Solve for x
    x = 147,830,887.14/14,285
  6. Step 6: Final answer
    x = 10,348.68

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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.