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Finding the Fourth Proportional to 13,221.90, 19,834.22 and 4,457.49

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Solution

The fourth proportional to 13,221.90, 19,834.22 and 4,457.49 is: 6,686.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,221.90 : 19,834.22 = 4,457.49 : x
  2. Step 2: Convert to fraction form
    13,221.90/19,834.22 = 4,457.49/x
  3. Step 3: Cross multiply
    13,221.90x = 19,834.22 × 4,457.49
  4. Step 4: Simplify right side
    13,221.90x = 88,410,815.02
  5. Step 5: Solve for x
    x = 88,410,815.02/13,221.90
  6. Step 6: Final answer
    x = 6,686.70

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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.