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Finding the Fourth Proportional to 2,984.36, 4,118.43 and 1,658.07

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Solution

The fourth proportional to 2,984.36, 4,118.43 and 1,658.07 is: 2,288.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.36 : 4,118.43 = 1,658.07 : x
  2. Step 2: Convert to fraction form
    2,984.36/4,118.43 = 1,658.07/x
  3. Step 3: Cross multiply
    2,984.36x = 4,118.43 × 1,658.07
  4. Step 4: Simplify right side
    2,984.36x = 6,828,645.23
  5. Step 5: Solve for x
    x = 6,828,645.23/2,984.36
  6. Step 6: Final answer
    x = 2,288.14

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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.