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Finding the Fourth Proportional to 1,942.23, 2,913.75 and 847.11

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Solution

The fourth proportional to 1,942.23, 2,913.75 and 847.11 is: 1,270.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.23 : 2,913.75 = 847.11 : x
  2. Step 2: Convert to fraction form
    1,942.23/2,913.75 = 847.11/x
  3. Step 3: Cross multiply
    1,942.23x = 2,913.75 × 847.11
  4. Step 4: Simplify right side
    1,942.23x = 2,468,266.76
  5. Step 5: Solve for x
    x = 2,468,266.76/1,942.23
  6. Step 6: Final answer
    x = 1,270.84

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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.