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Finding the Fourth Proportional to 3,290.63, 4,541.08 and 1,964.31

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Solution

The fourth proportional to 3,290.63, 4,541.08 and 1,964.31 is: 2,710.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.63 : 4,541.08 = 1,964.31 : x
  2. Step 2: Convert to fraction form
    3,290.63/4,541.08 = 1,964.31/x
  3. Step 3: Cross multiply
    3,290.63x = 4,541.08 × 1,964.31
  4. Step 4: Simplify right side
    3,290.63x = 8,920,070.60
  5. Step 5: Solve for x
    x = 8,920,070.60/3,290.63
  6. Step 6: Final answer
    x = 2,710.75

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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.