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Finding the Fourth Proportional to 13,211.79, 19,830.01 and 6,976.41

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Solution

The fourth proportional to 13,211.79, 19,830.01 and 6,976.41 is: 10,471.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211.79 : 19,830.01 = 6,976.41 : x
  2. Step 2: Convert to fraction form
    13,211.79/19,830.01 = 6,976.41/x
  3. Step 3: Cross multiply
    13,211.79x = 19,830.01 × 6,976.41
  4. Step 4: Simplify right side
    13,211.79x = 138,342,280.06
  5. Step 5: Solve for x
    x = 138,342,280.06/13,211.79
  6. Step 6: Final answer
    x = 10,471.12

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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.