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Finding the Fourth Proportional to 11,705.98, 17,559.78 and 3,913.78

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Solution

The fourth proportional to 11,705.98, 17,559.78 and 3,913.78 is: 5,870.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.98 : 17,559.78 = 3,913.78 : x
  2. Step 2: Convert to fraction form
    11,705.98/17,559.78 = 3,913.78/x
  3. Step 3: Cross multiply
    11,705.98x = 17,559.78 × 3,913.78
  4. Step 4: Simplify right side
    11,705.98x = 68,725,115.77
  5. Step 5: Solve for x
    x = 68,725,115.77/11,705.98
  6. Step 6: Final answer
    x = 5,870.94

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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.