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Finding the Fourth Proportional to 13,457.84, 20,188.44 and 4,574.66

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Solution

The fourth proportional to 13,457.84, 20,188.44 and 4,574.66 is: 6,862.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,457.84 : 20,188.44 = 4,574.66 : x
  2. Step 2: Convert to fraction form
    13,457.84/20,188.44 = 4,574.66/x
  3. Step 3: Cross multiply
    13,457.84x = 20,188.44 × 4,574.66
  4. Step 4: Simplify right side
    13,457.84x = 92,355,147.99
  5. Step 5: Solve for x
    x = 92,355,147.99/13,457.84
  6. Step 6: Final answer
    x = 6,862.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.