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Finding the Fourth Proportional to 2,938.61, 4,407.93 and 1,184.42

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Solution

The fourth proportional to 2,938.61, 4,407.93 and 1,184.42 is: 1,776.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.61 : 4,407.93 = 1,184.42 : x
  2. Step 2: Convert to fraction form
    2,938.61/4,407.93 = 1,184.42/x
  3. Step 3: Cross multiply
    2,938.61x = 4,407.93 × 1,184.42
  4. Step 4: Simplify right side
    2,938.61x = 5,220,834.94
  5. Step 5: Solve for x
    x = 5,220,834.94/2,938.61
  6. Step 6: Final answer
    x = 1,776.63

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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.