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Finding the Fourth Proportional to 7,990, 11,029.08 and 4,678

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Solution

The fourth proportional to 7,990, 11,029.08 and 4,678 is: 6,457.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,990 : 11,029.08 = 4,678 : x
  2. Step 2: Convert to fraction form
    7,990/11,029.08 = 4,678/x
  3. Step 3: Cross multiply
    7,990x = 11,029.08 × 4,678
  4. Step 4: Simplify right side
    7,990x = 51,594,036.24
  5. Step 5: Solve for x
    x = 51,594,036.24/7,990
  6. Step 6: Final answer
    x = 6,457.33

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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.