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Finding the Fourth Proportional to 2,938.68, 4,403.16 and 1,840.32

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Solution

The fourth proportional to 2,938.68, 4,403.16 and 1,840.32 is: 2,757.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.68 : 4,403.16 = 1,840.32 : x
  2. Step 2: Convert to fraction form
    2,938.68/4,403.16 = 1,840.32/x
  3. Step 3: Cross multiply
    2,938.68x = 4,403.16 × 1,840.32
  4. Step 4: Simplify right side
    2,938.68x = 8,103,223.41
  5. Step 5: Solve for x
    x = 8,103,223.41/2,938.68
  6. Step 6: Final answer
    x = 2,757.44

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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.