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Finding the Fourth Proportional to 1,647.60, 2,273.73 and 901.54

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Solution

The fourth proportional to 1,647.60, 2,273.73 and 901.54 is: 1,244.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.60 : 2,273.73 = 901.54 : x
  2. Step 2: Convert to fraction form
    1,647.60/2,273.73 = 901.54/x
  3. Step 3: Cross multiply
    1,647.60x = 2,273.73 × 901.54
  4. Step 4: Simplify right side
    1,647.60x = 2,049,858.54
  5. Step 5: Solve for x
    x = 2,049,858.54/1,647.60
  6. Step 6: Final answer
    x = 1,244.15

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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.