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Finding the Fourth Proportional to 1,936.51, 2,900.75 and 946.34

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Solution

The fourth proportional to 1,936.51, 2,900.75 and 946.34 is: 1,417.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.51 : 2,900.75 = 946.34 : x
  2. Step 2: Convert to fraction form
    1,936.51/2,900.75 = 946.34/x
  3. Step 3: Cross multiply
    1,936.51x = 2,900.75 × 946.34
  4. Step 4: Simplify right side
    1,936.51x = 2,745,087.40
  5. Step 5: Solve for x
    x = 2,745,087.40/1,936.51
  6. Step 6: Final answer
    x = 1,417.55

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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.