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Finding the Fourth Proportional to 1,381.86, 2,059.43 and 1,335.06

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Solution

The fourth proportional to 1,381.86, 2,059.43 and 1,335.06 is: 1,989.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.86 : 2,059.43 = 1,335.06 : x
  2. Step 2: Convert to fraction form
    1,381.86/2,059.43 = 1,335.06/x
  3. Step 3: Cross multiply
    1,381.86x = 2,059.43 × 1,335.06
  4. Step 4: Simplify right side
    1,381.86x = 2,749,455.94
  5. Step 5: Solve for x
    x = 2,749,455.94/1,381.86
  6. Step 6: Final answer
    x = 1,989.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.