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Finding the Fourth Proportional to 2,998.90, 4,508.07 and 2,984.32

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Solution

The fourth proportional to 2,998.90, 4,508.07 and 2,984.32 is: 4,486.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.90 : 4,508.07 = 2,984.32 : x
  2. Step 2: Convert to fraction form
    2,998.90/4,508.07 = 2,984.32/x
  3. Step 3: Cross multiply
    2,998.90x = 4,508.07 × 2,984.32
  4. Step 4: Simplify right side
    2,998.90x = 13,453,523.46
  5. Step 5: Solve for x
    x = 13,453,523.46/2,998.90
  6. Step 6: Final answer
    x = 4,486.15

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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.