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Finding the Fourth Proportional to 14,491.21, 21,744.90 and 7,827.58

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Solution

The fourth proportional to 14,491.21, 21,744.90 and 7,827.58 is: 11,745.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,491.21 : 21,744.90 = 7,827.58 : x
  2. Step 2: Convert to fraction form
    14,491.21/21,744.90 = 7,827.58/x
  3. Step 3: Cross multiply
    14,491.21x = 21,744.90 × 7,827.58
  4. Step 4: Simplify right side
    14,491.21x = 170,209,944.34
  5. Step 5: Solve for x
    x = 170,209,944.34/14,491.21
  6. Step 6: Final answer
    x = 11,745.74

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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.