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Finding the Fourth Proportional to 1,957.23, 2,936.17 and 970.09

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Solution

The fourth proportional to 1,957.23, 2,936.17 and 970.09 is: 1,455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.23 : 2,936.17 = 970.09 : x
  2. Step 2: Convert to fraction form
    1,957.23/2,936.17 = 970.09/x
  3. Step 3: Cross multiply
    1,957.23x = 2,936.17 × 970.09
  4. Step 4: Simplify right side
    1,957.23x = 2,848,362.27
  5. Step 5: Solve for x
    x = 2,848,362.27/1,957.23
  6. Step 6: Final answer
    x = 1,455.30

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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.