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Finding the Fourth Proportional to 2,118.84, 2,922.93 and 1,419

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Solution

The fourth proportional to 2,118.84, 2,922.93 and 1,419 is: 1,957.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.84 : 2,922.93 = 1,419 : x
  2. Step 2: Convert to fraction form
    2,118.84/2,922.93 = 1,419/x
  3. Step 3: Cross multiply
    2,118.84x = 2,922.93 × 1,419
  4. Step 4: Simplify right side
    2,118.84x = 4,147,637.67
  5. Step 5: Solve for x
    x = 4,147,637.67/2,118.84
  6. Step 6: Final answer
    x = 1,957.50

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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.