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Finding the Fourth Proportional to 1,662.24, 2,293.84 and 954.16

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Solution

The fourth proportional to 1,662.24, 2,293.84 and 954.16 is: 1,316.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.24 : 2,293.84 = 954.16 : x
  2. Step 2: Convert to fraction form
    1,662.24/2,293.84 = 954.16/x
  3. Step 3: Cross multiply
    1,662.24x = 2,293.84 × 954.16
  4. Step 4: Simplify right side
    1,662.24x = 2,188,690.37
  5. Step 5: Solve for x
    x = 2,188,690.37/1,662.24
  6. Step 6: Final answer
    x = 1,316.71

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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.