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Finding the Fourth Proportional to 13,777.68, 20,659.74 and 4,415.50

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Solution

The fourth proportional to 13,777.68, 20,659.74 and 4,415.50 is: 6,621.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.68 : 20,659.74 = 4,415.50 : x
  2. Step 2: Convert to fraction form
    13,777.68/20,659.74 = 4,415.50/x
  3. Step 3: Cross multiply
    13,777.68x = 20,659.74 × 4,415.50
  4. Step 4: Simplify right side
    13,777.68x = 91,223,081.97
  5. Step 5: Solve for x
    x = 91,223,081.97/13,777.68
  6. Step 6: Final answer
    x = 6,621.08

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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.