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Finding the Fourth Proportional to 13,147.70, 19,718.67 and 3,787.70

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Solution

The fourth proportional to 13,147.70, 19,718.67 and 3,787.70 is: 5,680.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,147.70 : 19,718.67 = 3,787.70 : x
  2. Step 2: Convert to fraction form
    13,147.70/19,718.67 = 3,787.70/x
  3. Step 3: Cross multiply
    13,147.70x = 19,718.67 × 3,787.70
  4. Step 4: Simplify right side
    13,147.70x = 74,688,406.36
  5. Step 5: Solve for x
    x = 74,688,406.36/13,147.70
  6. Step 6: Final answer
    x = 5,680.72

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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.