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Finding the Fourth Proportional to 2,938.51, 4,406.65 and 963.67

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Solution

The fourth proportional to 2,938.51, 4,406.65 and 963.67 is: 1,445.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.51 : 4,406.65 = 963.67 : x
  2. Step 2: Convert to fraction form
    2,938.51/4,406.65 = 963.67/x
  3. Step 3: Cross multiply
    2,938.51x = 4,406.65 × 963.67
  4. Step 4: Simplify right side
    2,938.51x = 4,246,556.41
  5. Step 5: Solve for x
    x = 4,246,556.41/2,938.51
  6. Step 6: Final answer
    x = 1,445.14

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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.