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Finding the Fourth Proportional to 13,810, 20,718.30 and 4,576

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Solution

The fourth proportional to 13,810, 20,718.30 and 4,576 is: 6,865.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810 : 20,718.30 = 4,576 : x
  2. Step 2: Convert to fraction form
    13,810/20,718.30 = 4,576/x
  3. Step 3: Cross multiply
    13,810x = 20,718.30 × 4,576
  4. Step 4: Simplify right side
    13,810x = 94,806,940.80
  5. Step 5: Solve for x
    x = 94,806,940.80/13,810
  6. Step 6: Final answer
    x = 6,865.09

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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.