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Finding the Fourth Proportional to 3,486.71, 4,811.40 and 1,914.50

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Solution

The fourth proportional to 3,486.71, 4,811.40 and 1,914.50 is: 2,641.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.71 : 4,811.40 = 1,914.50 : x
  2. Step 2: Convert to fraction form
    3,486.71/4,811.40 = 1,914.50/x
  3. Step 3: Cross multiply
    3,486.71x = 4,811.40 × 1,914.50
  4. Step 4: Simplify right side
    3,486.71x = 9,211,401.24
  5. Step 5: Solve for x
    x = 9,211,401.24/3,486.71
  6. Step 6: Final answer
    x = 2,641.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.