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Finding the Fourth Proportional to 13,907.97, 20,878.97 and 7,338.06

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Solution

The fourth proportional to 13,907.97, 20,878.97 and 7,338.06 is: 11,016.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.97 : 20,878.97 = 7,338.06 : x
  2. Step 2: Convert to fraction form
    13,907.97/20,878.97 = 7,338.06/x
  3. Step 3: Cross multiply
    13,907.97x = 20,878.97 × 7,338.06
  4. Step 4: Simplify right side
    13,907.97x = 153,211,097.91
  5. Step 5: Solve for x
    x = 153,211,097.91/13,907.97
  6. Step 6: Final answer
    x = 11,016.06

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1.5x scale

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.