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Finding the Fourth Proportional to 3,419.75, 4,718.99 and 1,927.40

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Solution

The fourth proportional to 3,419.75, 4,718.99 and 1,927.40 is: 2,659.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.75 : 4,718.99 = 1,927.40 : x
  2. Step 2: Convert to fraction form
    3,419.75/4,718.99 = 1,927.40/x
  3. Step 3: Cross multiply
    3,419.75x = 4,718.99 × 1,927.40
  4. Step 4: Simplify right side
    3,419.75x = 9,095,362.55
  5. Step 5: Solve for x
    x = 9,095,362.55/3,419.75
  6. Step 6: Final answer
    x = 2,659.66

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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.