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Finding the Fourth Proportional to 4,905, 7,358.22 and 2,929.44

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Solution

The fourth proportional to 4,905, 7,358.22 and 2,929.44 is: 4,394.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905 : 7,358.22 = 2,929.44 : x
  2. Step 2: Convert to fraction form
    4,905/7,358.22 = 2,929.44/x
  3. Step 3: Cross multiply
    4,905x = 7,358.22 × 2,929.44
  4. Step 4: Simplify right side
    4,905x = 21,555,464.00
  5. Step 5: Solve for x
    x = 21,555,464.00/4,905
  6. Step 6: Final answer
    x = 4,394.59

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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.