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Finding the Fourth Proportional to 2,478.94, 3,718.41 and 939.94

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Solution

The fourth proportional to 2,478.94, 3,718.41 and 939.94 is: 1,409.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.94 : 3,718.41 = 939.94 : x
  2. Step 2: Convert to fraction form
    2,478.94/3,718.41 = 939.94/x
  3. Step 3: Cross multiply
    2,478.94x = 3,718.41 × 939.94
  4. Step 4: Simplify right side
    2,478.94x = 3,495,069.47
  5. Step 5: Solve for x
    x = 3,495,069.47/2,478.94
  6. Step 6: Final answer
    x = 1,409.91

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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.