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Finding the Fourth Proportional to 3,605.23, 4,975.20 and 1,949.23

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Solution

The fourth proportional to 3,605.23, 4,975.20 and 1,949.23 is: 2,689.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.23 : 4,975.20 = 1,949.23 : x
  2. Step 2: Convert to fraction form
    3,605.23/4,975.20 = 1,949.23/x
  3. Step 3: Cross multiply
    3,605.23x = 4,975.20 × 1,949.23
  4. Step 4: Simplify right side
    3,605.23x = 9,697,809.10
  5. Step 5: Solve for x
    x = 9,697,809.10/3,605.23
  6. Step 6: Final answer
    x = 2,689.93

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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.