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Finding the Fourth Proportional to 9,954.81, 13,738.05 and 5,478.86

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Solution

The fourth proportional to 9,954.81, 13,738.05 and 5,478.86 is: 7,561.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.81 : 13,738.05 = 5,478.86 : x
  2. Step 2: Convert to fraction form
    9,954.81/13,738.05 = 5,478.86/x
  3. Step 3: Cross multiply
    9,954.81x = 13,738.05 × 5,478.86
  4. Step 4: Simplify right side
    9,954.81x = 75,268,783.93
  5. Step 5: Solve for x
    x = 75,268,783.93/9,954.81
  6. Step 6: Final answer
    x = 7,561.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.