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Finding the Fourth Proportional to 2,009.07, 3,012.80 and 913.14

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Solution

The fourth proportional to 2,009.07, 3,012.80 and 913.14 is: 1,369.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.07 : 3,012.80 = 913.14 : x
  2. Step 2: Convert to fraction form
    2,009.07/3,012.80 = 913.14/x
  3. Step 3: Cross multiply
    2,009.07x = 3,012.80 × 913.14
  4. Step 4: Simplify right side
    2,009.07x = 2,751,103.63
  5. Step 5: Solve for x
    x = 2,751,103.63/2,009.07
  6. Step 6: Final answer
    x = 1,369.34

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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.