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Finding the Fourth Proportional to 13,359.68, 20,032.74 and 4,471.84

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Solution

The fourth proportional to 13,359.68, 20,032.74 and 4,471.84 is: 6,705.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,359.68 : 20,032.74 = 4,471.84 : x
  2. Step 2: Convert to fraction form
    13,359.68/20,032.74 = 4,471.84/x
  3. Step 3: Cross multiply
    13,359.68x = 20,032.74 × 4,471.84
  4. Step 4: Simplify right side
    13,359.68x = 89,583,208.04
  5. Step 5: Solve for x
    x = 89,583,208.04/13,359.68
  6. Step 6: Final answer
    x = 6,705.49

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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.