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Finding the Fourth Proportional to 13,802.46, 20,706.12 and 6,415.26

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Solution

The fourth proportional to 13,802.46, 20,706.12 and 6,415.26 is: 9,624.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.46 : 20,706.12 = 6,415.26 : x
  2. Step 2: Convert to fraction form
    13,802.46/20,706.12 = 6,415.26/x
  3. Step 3: Cross multiply
    13,802.46x = 20,706.12 × 6,415.26
  4. Step 4: Simplify right side
    13,802.46x = 132,835,143.39
  5. Step 5: Solve for x
    x = 132,835,143.39/13,802.46
  6. Step 6: Final answer
    x = 9,624.02

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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.