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Finding the Fourth Proportional to 13,803.75, 20,705.63 and 3,415.50

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Solution

The fourth proportional to 13,803.75, 20,705.63 and 3,415.50 is: 5,123.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.75 : 20,705.63 = 3,415.50 : x
  2. Step 2: Convert to fraction form
    13,803.75/20,705.63 = 3,415.50/x
  3. Step 3: Cross multiply
    13,803.75x = 20,705.63 × 3,415.50
  4. Step 4: Simplify right side
    13,803.75x = 70,720,062.19
  5. Step 5: Solve for x
    x = 70,720,062.19/13,803.75
  6. Step 6: Final answer
    x = 5,123.25

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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.