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Finding the Fourth Proportional to 13,378.54, 20,061.06 and 7,833.64

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Solution

The fourth proportional to 13,378.54, 20,061.06 and 7,833.64 is: 11,746.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.54 : 20,061.06 = 7,833.64 : x
  2. Step 2: Convert to fraction form
    13,378.54/20,061.06 = 7,833.64/x
  3. Step 3: Cross multiply
    13,378.54x = 20,061.06 × 7,833.64
  4. Step 4: Simplify right side
    13,378.54x = 157,151,122.06
  5. Step 5: Solve for x
    x = 157,151,122.06/13,378.54
  6. Step 6: Final answer
    x = 11,746.51

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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.