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Finding the Fourth Proportional to 2,984.84, 4,119.06 and 1,658.54

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Solution

The fourth proportional to 2,984.84, 4,119.06 and 1,658.54 is: 2,288.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.84 : 4,119.06 = 1,658.54 : x
  2. Step 2: Convert to fraction form
    2,984.84/4,119.06 = 1,658.54/x
  3. Step 3: Cross multiply
    2,984.84x = 4,119.06 × 1,658.54
  4. Step 4: Simplify right side
    2,984.84x = 6,831,625.77
  5. Step 5: Solve for x
    x = 6,831,625.77/2,984.84
  6. Step 6: Final answer
    x = 2,288.77

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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.