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Finding the Fourth Proportional to 2,640.14, 3,643.00 and 1,505.63

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Solution

The fourth proportional to 2,640.14, 3,643.00 and 1,505.63 is: 2,077.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.14 : 3,643.00 = 1,505.63 : x
  2. Step 2: Convert to fraction form
    2,640.14/3,643.00 = 1,505.63/x
  3. Step 3: Cross multiply
    2,640.14x = 3,643.00 × 1,505.63
  4. Step 4: Simplify right side
    2,640.14x = 5,484,997.70
  5. Step 5: Solve for x
    x = 5,484,997.70/2,640.14
  6. Step 6: Final answer
    x = 2,077.54

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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.