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Finding the Fourth Proportional to 13,480, 20,220.72 and 4,246.72

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Solution

The fourth proportional to 13,480, 20,220.72 and 4,246.72 is: 6,370.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,480 : 20,220.72 = 4,246.72 : x
  2. Step 2: Convert to fraction form
    13,480/20,220.72 = 4,246.72/x
  3. Step 3: Cross multiply
    13,480x = 20,220.72 × 4,246.72
  4. Step 4: Simplify right side
    13,480x = 85,871,736.04
  5. Step 5: Solve for x
    x = 85,871,736.04/13,480
  6. Step 6: Final answer
    x = 6,370.31

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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.