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Finding the Fourth Proportional to 1,921.84, 2,884.56 and 998.05

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Solution

The fourth proportional to 1,921.84, 2,884.56 and 998.05 is: 1,498.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.84 : 2,884.56 = 998.05 : x
  2. Step 2: Convert to fraction form
    1,921.84/2,884.56 = 998.05/x
  3. Step 3: Cross multiply
    1,921.84x = 2,884.56 × 998.05
  4. Step 4: Simplify right side
    1,921.84x = 2,878,935.11
  5. Step 5: Solve for x
    x = 2,878,935.11/1,921.84
  6. Step 6: Final answer
    x = 1,498.01

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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.