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Finding the Fourth Proportional to 2,954.84, 4,076.76 and 1,678.50

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Solution

The fourth proportional to 2,954.84, 4,076.76 and 1,678.50 is: 2,315.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.84 : 4,076.76 = 1,678.50 : x
  2. Step 2: Convert to fraction form
    2,954.84/4,076.76 = 1,678.50/x
  3. Step 3: Cross multiply
    2,954.84x = 4,076.76 × 1,678.50
  4. Step 4: Simplify right side
    2,954.84x = 6,842,841.66
  5. Step 5: Solve for x
    x = 6,842,841.66/2,954.84
  6. Step 6: Final answer
    x = 2,315.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.