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Finding the Fourth Proportional to 2,710.02, 3,730.09 and 1,922.70

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Solution

The fourth proportional to 2,710.02, 3,730.09 and 1,922.70 is: 2,646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.02 : 3,730.09 = 1,922.70 : x
  2. Step 2: Convert to fraction form
    2,710.02/3,730.09 = 1,922.70/x
  3. Step 3: Cross multiply
    2,710.02x = 3,730.09 × 1,922.70
  4. Step 4: Simplify right side
    2,710.02x = 7,171,844.04
  5. Step 5: Solve for x
    x = 7,171,844.04/2,710.02
  6. Step 6: Final answer
    x = 2,646.42

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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.