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Finding the Fourth Proportional to 1,641.96, 2,266.18 and 1,021

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Solution

The fourth proportional to 1,641.96, 2,266.18 and 1,021 is: 1,409.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.96 : 2,266.18 = 1,021 : x
  2. Step 2: Convert to fraction form
    1,641.96/2,266.18 = 1,021/x
  3. Step 3: Cross multiply
    1,641.96x = 2,266.18 × 1,021
  4. Step 4: Simplify right side
    1,641.96x = 2,313,769.78
  5. Step 5: Solve for x
    x = 2,313,769.78/1,641.96
  6. Step 6: Final answer
    x = 1,409.15

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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.