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Finding the Fourth Proportional to 3,506.63, 4,839.23 and 1,913.30

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Solution

The fourth proportional to 3,506.63, 4,839.23 and 1,913.30 is: 2,640.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.63 : 4,839.23 = 1,913.30 : x
  2. Step 2: Convert to fraction form
    3,506.63/4,839.23 = 1,913.30/x
  3. Step 3: Cross multiply
    3,506.63x = 4,839.23 × 1,913.30
  4. Step 4: Simplify right side
    3,506.63x = 9,258,915.64
  5. Step 5: Solve for x
    x = 9,258,915.64/3,506.63
  6. Step 6: Final answer
    x = 2,640.41

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1.5x scale

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.