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Finding the Fourth Proportional to 2,114.11, 2,918.06 and 1,230.27

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Solution

The fourth proportional to 2,114.11, 2,918.06 and 1,230.27 is: 1,698.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.11 : 2,918.06 = 1,230.27 : x
  2. Step 2: Convert to fraction form
    2,114.11/2,918.06 = 1,230.27/x
  3. Step 3: Cross multiply
    2,114.11x = 2,918.06 × 1,230.27
  4. Step 4: Simplify right side
    2,114.11x = 3,590,001.68
  5. Step 5: Solve for x
    x = 3,590,001.68/2,114.11
  6. Step 6: Final answer
    x = 1,698.11

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1.5x scale

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.