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Finding the Fourth Proportional to 13,815.30, 20,718.85 and 5,048.17

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Solution

The fourth proportional to 13,815.30, 20,718.85 and 5,048.17 is: 7,570.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815.30 : 20,718.85 = 5,048.17 : x
  2. Step 2: Convert to fraction form
    13,815.30/20,718.85 = 5,048.17/x
  3. Step 3: Cross multiply
    13,815.30x = 20,718.85 × 5,048.17
  4. Step 4: Simplify right side
    13,815.30x = 104,592,212.59
  5. Step 5: Solve for x
    x = 104,592,212.59/13,815.30
  6. Step 6: Final answer
    x = 7,570.75

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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.