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Finding the Fourth Proportional to 1,248.37, 1,871.81 and 919.51

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Solution

The fourth proportional to 1,248.37, 1,871.81 and 919.51 is: 1,378.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.37 : 1,871.81 = 919.51 : x
  2. Step 2: Convert to fraction form
    1,248.37/1,871.81 = 919.51/x
  3. Step 3: Cross multiply
    1,248.37x = 1,871.81 × 919.51
  4. Step 4: Simplify right side
    1,248.37x = 1,721,143.42
  5. Step 5: Solve for x
    x = 1,721,143.42/1,248.37
  6. Step 6: Final answer
    x = 1,378.71

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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.