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Finding the Fourth Proportional to 2,643.75, 3,648.38 and 1,465.00

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Solution

The fourth proportional to 2,643.75, 3,648.38 and 1,465.00 is: 2,021.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.75 : 3,648.38 = 1,465.00 : x
  2. Step 2: Convert to fraction form
    2,643.75/3,648.38 = 1,465.00/x
  3. Step 3: Cross multiply
    2,643.75x = 3,648.38 × 1,465.00
  4. Step 4: Simplify right side
    2,643.75x = 5,344,860.25
  5. Step 5: Solve for x
    x = 5,344,860.25/2,643.75
  6. Step 6: Final answer
    x = 2,021.70

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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.