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Finding the Fourth Proportional to 13,310.74, 19,916.66 and 8,357.20

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Solution

The fourth proportional to 13,310.74, 19,916.66 and 8,357.20 is: 12,504.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,310.74 : 19,916.66 = 8,357.20 : x
  2. Step 2: Convert to fraction form
    13,310.74/19,916.66 = 8,357.20/x
  3. Step 3: Cross multiply
    13,310.74x = 19,916.66 × 8,357.20
  4. Step 4: Simplify right side
    13,310.74x = 166,447,510.95
  5. Step 5: Solve for x
    x = 166,447,510.95/13,310.74
  6. Step 6: Final answer
    x = 12,504.75

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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.