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Finding the Fourth Proportional to 1,918.33, 2,882.97 and 945.12

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Solution

The fourth proportional to 1,918.33, 2,882.97 and 945.12 is: 1,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.33 : 2,882.97 = 945.12 : x
  2. Step 2: Convert to fraction form
    1,918.33/2,882.97 = 945.12/x
  3. Step 3: Cross multiply
    1,918.33x = 2,882.97 × 945.12
  4. Step 4: Simplify right side
    1,918.33x = 2,724,752.61
  5. Step 5: Solve for x
    x = 2,724,752.61/1,918.33
  6. Step 6: Final answer
    x = 1,420.38

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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.