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Finding the Fourth Proportional to 3,107.00, 4,287.74 and 1,690.77

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Solution

The fourth proportional to 3,107.00, 4,287.74 and 1,690.77 is: 2,333.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.00 : 4,287.74 = 1,690.77 : x
  2. Step 2: Convert to fraction form
    3,107.00/4,287.74 = 1,690.77/x
  3. Step 3: Cross multiply
    3,107.00x = 4,287.74 × 1,690.77
  4. Step 4: Simplify right side
    3,107.00x = 7,249,570.31
  5. Step 5: Solve for x
    x = 7,249,570.31/3,107.00
  6. Step 6: Final answer
    x = 2,333.30

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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.