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Finding the Fourth Proportional to 2,643.75, 3,966.03 and 1,918.80

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Solution

The fourth proportional to 2,643.75, 3,966.03 and 1,918.80 is: 2,878.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.75 : 3,966.03 = 1,918.80 : x
  2. Step 2: Convert to fraction form
    2,643.75/3,966.03 = 1,918.80/x
  3. Step 3: Cross multiply
    2,643.75x = 3,966.03 × 1,918.80
  4. Step 4: Simplify right side
    2,643.75x = 7,610,018.36
  5. Step 5: Solve for x
    x = 7,610,018.36/2,643.75
  6. Step 6: Final answer
    x = 2,878.49

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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.