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Finding the Fourth Proportional to 2,918.29, 4,378.01 and 944.41

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Solution

The fourth proportional to 2,918.29, 4,378.01 and 944.41 is: 1,416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,918.29 : 4,378.01 = 944.41 : x
  2. Step 2: Convert to fraction form
    2,918.29/4,378.01 = 944.41/x
  3. Step 3: Cross multiply
    2,918.29x = 4,378.01 × 944.41
  4. Step 4: Simplify right side
    2,918.29x = 4,134,620.76
  5. Step 5: Solve for x
    x = 4,134,620.76/2,918.29
  6. Step 6: Final answer
    x = 1,416.80

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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.