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Finding the Fourth Proportional to 4,640, 6,960 and 1,904

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Solution

The fourth proportional to 4,640, 6,960 and 1,904 is: 2,856

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640 : 6,960 = 1,904 : x
  2. Step 2: Convert to fraction form
    4,640/6,960 = 1,904/x
  3. Step 3: Cross multiply
    4,640x = 6,960 × 1,904
  4. Step 4: Simplify right side
    4,640x = 13,251,840
  5. Step 5: Solve for x
    x = 13,251,840/4,640
  6. Step 6: Final answer
    x = 2,856

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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.