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Finding the Fourth Proportional to 14,432.84, 19,920.64 and 8,466.43

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Solution

The fourth proportional to 14,432.84, 19,920.64 and 8,466.43 is: 11,685.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,432.84 : 19,920.64 = 8,466.43 : x
  2. Step 2: Convert to fraction form
    14,432.84/19,920.64 = 8,466.43/x
  3. Step 3: Cross multiply
    14,432.84x = 19,920.64 × 8,466.43
  4. Step 4: Simplify right side
    14,432.84x = 168,656,704.12
  5. Step 5: Solve for x
    x = 168,656,704.12/14,432.84
  6. Step 6: Final answer
    x = 11,685.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.