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Finding the Fourth Proportional to 15,684, 23,536.80 and 6,450

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Solution

The fourth proportional to 15,684, 23,536.80 and 6,450 is: 9,679.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,684 : 23,536.80 = 6,450 : x
  2. Step 2: Convert to fraction form
    15,684/23,536.80 = 6,450/x
  3. Step 3: Cross multiply
    15,684x = 23,536.80 × 6,450
  4. Step 4: Simplify right side
    15,684x = 151,812,360
  5. Step 5: Solve for x
    x = 151,812,360/15,684
  6. Step 6: Final answer
    x = 9,679.44

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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.