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Finding the Fourth Proportional to 13,314, 19,959.72 and 8,918

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Solution

The fourth proportional to 13,314, 19,959.72 and 8,918 is: 13,369.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,314 : 19,959.72 = 8,918 : x
  2. Step 2: Convert to fraction form
    13,314/19,959.72 = 8,918/x
  3. Step 3: Cross multiply
    13,314x = 19,959.72 × 8,918
  4. Step 4: Simplify right side
    13,314x = 178,000,782.96
  5. Step 5: Solve for x
    x = 178,000,782.96/13,314
  6. Step 6: Final answer
    x = 13,369.44

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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.