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Finding the Fourth Proportional to 13,906.16, 20,865.48 and 6,117.20

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Solution

The fourth proportional to 13,906.16, 20,865.48 and 6,117.20 is: 9,178.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.16 : 20,865.48 = 6,117.20 : x
  2. Step 2: Convert to fraction form
    13,906.16/20,865.48 = 6,117.20/x
  3. Step 3: Cross multiply
    13,906.16x = 20,865.48 × 6,117.20
  4. Step 4: Simplify right side
    13,906.16x = 127,638,314.26
  5. Step 5: Solve for x
    x = 127,638,314.26/13,906.16
  6. Step 6: Final answer
    x = 9,178.54

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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.