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Finding the Fourth Proportional to 1,076.26, 1,612 and 1,050.07

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Solution

The fourth proportional to 1,076.26, 1,612 and 1,050.07 is: 1,572.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.26 : 1,612 = 1,050.07 : x
  2. Step 2: Convert to fraction form
    1,076.26/1,612 = 1,050.07/x
  3. Step 3: Cross multiply
    1,076.26x = 1,612 × 1,050.07
  4. Step 4: Simplify right side
    1,076.26x = 1,692,712.84
  5. Step 5: Solve for x
    x = 1,692,712.84/1,076.26
  6. Step 6: Final answer
    x = 1,572.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.