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Finding the Fourth Proportional to 1,256.94, 1,886.64 and 1,050.03

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Solution

The fourth proportional to 1,256.94, 1,886.64 and 1,050.03 is: 1,576.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.94 : 1,886.64 = 1,050.03 : x
  2. Step 2: Convert to fraction form
    1,256.94/1,886.64 = 1,050.03/x
  3. Step 3: Cross multiply
    1,256.94x = 1,886.64 × 1,050.03
  4. Step 4: Simplify right side
    1,256.94x = 1,981,028.60
  5. Step 5: Solve for x
    x = 1,981,028.60/1,256.94
  6. Step 6: Final answer
    x = 1,576.07

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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.