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Finding the Fourth Proportional to 1,419.37, 1,957.83 and 947.41

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Solution

The fourth proportional to 1,419.37, 1,957.83 and 947.41 is: 1,306.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.37 : 1,957.83 = 947.41 : x
  2. Step 2: Convert to fraction form
    1,419.37/1,957.83 = 947.41/x
  3. Step 3: Cross multiply
    1,419.37x = 1,957.83 × 947.41
  4. Step 4: Simplify right side
    1,419.37x = 1,854,867.72
  5. Step 5: Solve for x
    x = 1,854,867.72/1,419.37
  6. Step 6: Final answer
    x = 1,306.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.