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Finding the Fourth Proportional to 13,812, 20,721.36 and 4,578

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Solution

The fourth proportional to 13,812, 20,721.36 and 4,578 is: 6,868.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812 : 20,721.36 = 4,578 : x
  2. Step 2: Convert to fraction form
    13,812/20,721.36 = 4,578/x
  3. Step 3: Cross multiply
    13,812x = 20,721.36 × 4,578
  4. Step 4: Simplify right side
    13,812x = 94,862,386.08
  5. Step 5: Solve for x
    x = 94,862,386.08/13,812
  6. Step 6: Final answer
    x = 6,868.11

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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.