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Finding the Fourth Proportional to 3,605.63, 4,976.15 and 2,114.80

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Solution

The fourth proportional to 3,605.63, 4,976.15 and 2,114.80 is: 2,918.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.63 : 4,976.15 = 2,114.80 : x
  2. Step 2: Convert to fraction form
    3,605.63/4,976.15 = 2,114.80/x
  3. Step 3: Cross multiply
    3,605.63x = 4,976.15 × 2,114.80
  4. Step 4: Simplify right side
    3,605.63x = 10,523,539.01
  5. Step 5: Solve for x
    x = 10,523,539.01/3,605.63
  6. Step 6: Final answer
    x = 2,918.64

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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.