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Finding the Fourth Proportional to 2,119.01, 3,178.53 and 657.99

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Solution

The fourth proportional to 2,119.01, 3,178.53 and 657.99 is: 986.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.01 : 3,178.53 = 657.99 : x
  2. Step 2: Convert to fraction form
    2,119.01/3,178.53 = 657.99/x
  3. Step 3: Cross multiply
    2,119.01x = 3,178.53 × 657.99
  4. Step 4: Simplify right side
    2,119.01x = 2,091,440.95
  5. Step 5: Solve for x
    x = 2,091,440.95/2,119.01
  6. Step 6: Final answer
    x = 986.99

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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.