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Finding the Fourth Proportional to 2,975.00, 4,105.75 and 1,648.79

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Solution

The fourth proportional to 2,975.00, 4,105.75 and 1,648.79 is: 2,275.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.00 : 4,105.75 = 1,648.79 : x
  2. Step 2: Convert to fraction form
    2,975.00/4,105.75 = 1,648.79/x
  3. Step 3: Cross multiply
    2,975.00x = 4,105.75 × 1,648.79
  4. Step 4: Simplify right side
    2,975.00x = 6,769,533.02
  5. Step 5: Solve for x
    x = 6,769,533.02/2,975.00
  6. Step 6: Final answer
    x = 2,275.47

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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.