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Finding the Fourth Proportional to 1,923.64, 2,883.65 and 935.83

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Solution

The fourth proportional to 1,923.64, 2,883.65 and 935.83 is: 1,402.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.64 : 2,883.65 = 935.83 : x
  2. Step 2: Convert to fraction form
    1,923.64/2,883.65 = 935.83/x
  3. Step 3: Cross multiply
    1,923.64x = 2,883.65 × 935.83
  4. Step 4: Simplify right side
    1,923.64x = 2,698,601.50
  5. Step 5: Solve for x
    x = 2,698,601.50/1,923.64
  6. Step 6: Final answer
    x = 1,402.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.