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Finding the Fourth Proportional to 14,845.54, 20,491.59 and 9,814.21

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Solution

The fourth proportional to 14,845.54, 20,491.59 and 9,814.21 is: 13,546.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,845.54 : 20,491.59 = 9,814.21 : x
  2. Step 2: Convert to fraction form
    14,845.54/20,491.59 = 9,814.21/x
  3. Step 3: Cross multiply
    14,845.54x = 20,491.59 × 9,814.21
  4. Step 4: Simplify right side
    14,845.54x = 201,108,767.49
  5. Step 5: Solve for x
    x = 201,108,767.49/14,845.54
  6. Step 6: Final answer
    x = 13,546.75

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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.