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Finding the Fourth Proportional to 1,975.28, 2,974.64 and 1,759.01

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Solution

The fourth proportional to 1,975.28, 2,974.64 and 1,759.01 is: 2,648.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.28 : 2,974.64 = 1,759.01 : x
  2. Step 2: Convert to fraction form
    1,975.28/2,974.64 = 1,759.01/x
  3. Step 3: Cross multiply
    1,975.28x = 2,974.64 × 1,759.01
  4. Step 4: Simplify right side
    1,975.28x = 5,232,421.51
  5. Step 5: Solve for x
    x = 5,232,421.51/1,975.28
  6. Step 6: Final answer
    x = 2,648.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.