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Finding the Fourth Proportional to 1,968.08, 2,950.55 and 927.54

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Solution

The fourth proportional to 1,968.08, 2,950.55 and 927.54 is: 1,390.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.08 : 2,950.55 = 927.54 : x
  2. Step 2: Convert to fraction form
    1,968.08/2,950.55 = 927.54/x
  3. Step 3: Cross multiply
    1,968.08x = 2,950.55 × 927.54
  4. Step 4: Simplify right side
    1,968.08x = 2,736,748.51
  5. Step 5: Solve for x
    x = 2,736,748.51/1,968.08
  6. Step 6: Final answer
    x = 1,390.57

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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.