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Finding the Fourth Proportional to 1,923.94, 2,883.57 and 999

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Solution

The fourth proportional to 1,923.94, 2,883.57 and 999 is: 1,497.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.94 : 2,883.57 = 999 : x
  2. Step 2: Convert to fraction form
    1,923.94/2,883.57 = 999/x
  3. Step 3: Cross multiply
    1,923.94x = 2,883.57 × 999
  4. Step 4: Simplify right side
    1,923.94x = 2,880,686.43
  5. Step 5: Solve for x
    x = 2,880,686.43/1,923.94
  6. Step 6: Final answer
    x = 1,497.28

Related Problems

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Half scale
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Double scale
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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.