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Finding the Fourth Proportional to 13,214.48, 19,821.74 and 3,980.48

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Solution

The fourth proportional to 13,214.48, 19,821.74 and 3,980.48 is: 5,970.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214.48 : 19,821.74 = 3,980.48 : x
  2. Step 2: Convert to fraction form
    13,214.48/19,821.74 = 3,980.48/x
  3. Step 3: Cross multiply
    13,214.48x = 19,821.74 × 3,980.48
  4. Step 4: Simplify right side
    13,214.48x = 78,899,920.62
  5. Step 5: Solve for x
    x = 78,899,920.62/13,214.48
  6. Step 6: Final answer
    x = 5,970.72

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Similar ratio
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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.