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Finding the Fourth Proportional to 18,916.80, 28,364.40 and 5,767.20

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Solution

The fourth proportional to 18,916.80, 28,364.40 and 5,767.20 is: 8,647.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,916.80 : 28,364.40 = 5,767.20 : x
  2. Step 2: Convert to fraction form
    18,916.80/28,364.40 = 5,767.20/x
  3. Step 3: Cross multiply
    18,916.80x = 28,364.40 × 5,767.20
  4. Step 4: Simplify right side
    18,916.80x = 163,583,167.68
  5. Step 5: Solve for x
    x = 163,583,167.68/18,916.80
  6. Step 6: Final answer
    x = 8,647.51

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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.