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Finding the Fourth Proportional to 2,938.41, 4,407.89 and 990.63

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Solution

The fourth proportional to 2,938.41, 4,407.89 and 990.63 is: 1,486.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.41 : 4,407.89 = 990.63 : x
  2. Step 2: Convert to fraction form
    2,938.41/4,407.89 = 990.63/x
  3. Step 3: Cross multiply
    2,938.41x = 4,407.89 × 990.63
  4. Step 4: Simplify right side
    2,938.41x = 4,366,583.12
  5. Step 5: Solve for x
    x = 4,366,583.12/2,938.41
  6. Step 6: Final answer
    x = 1,486.04

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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.