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Finding the Fourth Proportional to 11,560, 17,338.88 and 5,317.44

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Solution

The fourth proportional to 11,560, 17,338.88 and 5,317.44 is: 7,975.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,560 : 17,338.88 = 5,317.44 : x
  2. Step 2: Convert to fraction form
    11,560/17,338.88 = 5,317.44/x
  3. Step 3: Cross multiply
    11,560x = 17,338.88 × 5,317.44
  4. Step 4: Simplify right side
    11,560x = 92,198,454.07
  5. Step 5: Solve for x
    x = 92,198,454.07/11,560
  6. Step 6: Final answer
    x = 7,975.64

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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.