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Finding the Fourth Proportional to 3,506.49, 4,838.74 and 1,913.02

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Solution

The fourth proportional to 3,506.49, 4,838.74 and 1,913.02 is: 2,639.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.49 : 4,838.74 = 1,913.02 : x
  2. Step 2: Convert to fraction form
    3,506.49/4,838.74 = 1,913.02/x
  3. Step 3: Cross multiply
    3,506.49x = 4,838.74 × 1,913.02
  4. Step 4: Simplify right side
    3,506.49x = 9,256,589.52
  5. Step 5: Solve for x
    x = 9,256,589.52/3,506.49
  6. Step 6: Final answer
    x = 2,639.84

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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.