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Finding the Fourth Proportional to 3,274.74, 4,908.30 and 1,870.50

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Solution

The fourth proportional to 3,274.74, 4,908.30 and 1,870.50 is: 2,803.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.74 : 4,908.30 = 1,870.50 : x
  2. Step 2: Convert to fraction form
    3,274.74/4,908.30 = 1,870.50/x
  3. Step 3: Cross multiply
    3,274.74x = 4,908.30 × 1,870.50
  4. Step 4: Simplify right side
    3,274.74x = 9,180,975.15
  5. Step 5: Solve for x
    x = 9,180,975.15/3,274.74
  6. Step 6: Final answer
    x = 2,803.57

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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.