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Finding the Fourth Proportional to 4,107.72, 6,152.94 and 1,918.20

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Solution

The fourth proportional to 4,107.72, 6,152.94 and 1,918.20 is: 2,873.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.72 : 6,152.94 = 1,918.20 : x
  2. Step 2: Convert to fraction form
    4,107.72/6,152.94 = 1,918.20/x
  3. Step 3: Cross multiply
    4,107.72x = 6,152.94 × 1,918.20
  4. Step 4: Simplify right side
    4,107.72x = 11,802,569.51
  5. Step 5: Solve for x
    x = 11,802,569.51/4,107.72
  6. Step 6: Final answer
    x = 2,873.27

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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.