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Finding the Fourth Proportional to 13,803.71, 20,705.32 and 3,415.46

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Solution

The fourth proportional to 13,803.71, 20,705.32 and 3,415.46 is: 5,123.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.71 : 20,705.32 = 3,415.46 : x
  2. Step 2: Convert to fraction form
    13,803.71/20,705.32 = 3,415.46/x
  3. Step 3: Cross multiply
    13,803.71x = 20,705.32 × 3,415.46
  4. Step 4: Simplify right side
    13,803.71x = 70,718,192.25
  5. Step 5: Solve for x
    x = 70,718,192.25/13,803.71
  6. Step 6: Final answer
    x = 5,123.13

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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.