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Finding the Fourth Proportional to 1,518.93, 2,278.94 and 937.68

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Solution

The fourth proportional to 1,518.93, 2,278.94 and 937.68 is: 1,406.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.93 : 2,278.94 = 937.68 : x
  2. Step 2: Convert to fraction form
    1,518.93/2,278.94 = 937.68/x
  3. Step 3: Cross multiply
    1,518.93x = 2,278.94 × 937.68
  4. Step 4: Simplify right side
    1,518.93x = 2,136,916.46
  5. Step 5: Solve for x
    x = 2,136,916.46/1,518.93
  6. Step 6: Final answer
    x = 1,406.86

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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.