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Finding the Fourth Proportional to 6,620.22, 9,929.88 and 4,774.68

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Solution

The fourth proportional to 6,620.22, 9,929.88 and 4,774.68 is: 7,161.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,620.22 : 9,929.88 = 4,774.68 : x
  2. Step 2: Convert to fraction form
    6,620.22/9,929.88 = 4,774.68/x
  3. Step 3: Cross multiply
    6,620.22x = 9,929.88 × 4,774.68
  4. Step 4: Simplify right side
    6,620.22x = 47,411,999.44
  5. Step 5: Solve for x
    x = 47,411,999.44/6,620.22
  6. Step 6: Final answer
    x = 7,161.70

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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.