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Finding the Fourth Proportional to 1,289.53, 1,941.37 and 881.29

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Solution

The fourth proportional to 1,289.53, 1,941.37 and 881.29 is: 1,326.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.53 : 1,941.37 = 881.29 : x
  2. Step 2: Convert to fraction form
    1,289.53/1,941.37 = 881.29/x
  3. Step 3: Cross multiply
    1,289.53x = 1,941.37 × 881.29
  4. Step 4: Simplify right side
    1,289.53x = 1,710,909.97
  5. Step 5: Solve for x
    x = 1,710,909.97/1,289.53
  6. Step 6: Final answer
    x = 1,326.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.