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Finding the Fourth Proportional to 1,942.38, 2,910.98 and 708.63

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Solution

The fourth proportional to 1,942.38, 2,910.98 and 708.63 is: 1,062.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.38 : 2,910.98 = 708.63 : x
  2. Step 2: Convert to fraction form
    1,942.38/2,910.98 = 708.63/x
  3. Step 3: Cross multiply
    1,942.38x = 2,910.98 × 708.63
  4. Step 4: Simplify right side
    1,942.38x = 2,062,804.21
  5. Step 5: Solve for x
    x = 2,062,804.21/1,942.38
  6. Step 6: Final answer
    x = 1,062.00

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1.5x scale

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.