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Finding the Fourth Proportional to 2,873.84, 4,307.76 and 1,949.47

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Solution

The fourth proportional to 2,873.84, 4,307.76 and 1,949.47 is: 2,922.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.84 : 4,307.76 = 1,949.47 : x
  2. Step 2: Convert to fraction form
    2,873.84/4,307.76 = 1,949.47/x
  3. Step 3: Cross multiply
    2,873.84x = 4,307.76 × 1,949.47
  4. Step 4: Simplify right side
    2,873.84x = 8,397,838.12
  5. Step 5: Solve for x
    x = 8,397,838.12/2,873.84
  6. Step 6: Final answer
    x = 2,922.17

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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.