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Finding the Fourth Proportional to 11,913.75, 17,870.63 and 3,705.75

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Solution

The fourth proportional to 11,913.75, 17,870.63 and 3,705.75 is: 5,558.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.75 : 17,870.63 = 3,705.75 : x
  2. Step 2: Convert to fraction form
    11,913.75/17,870.63 = 3,705.75/x
  3. Step 3: Cross multiply
    11,913.75x = 17,870.63 × 3,705.75
  4. Step 4: Simplify right side
    11,913.75x = 66,224,068.59
  5. Step 5: Solve for x
    x = 66,224,068.59/11,913.75
  6. Step 6: Final answer
    x = 5,558.63

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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.