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Finding the Fourth Proportional to 19,413, 29,119.50 and 4,821

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Solution

The fourth proportional to 19,413, 29,119.50 and 4,821 is: 7,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,413 : 29,119.50 = 4,821 : x
  2. Step 2: Convert to fraction form
    19,413/29,119.50 = 4,821/x
  3. Step 3: Cross multiply
    19,413x = 29,119.50 × 4,821
  4. Step 4: Simplify right side
    19,413x = 140,385,109.50
  5. Step 5: Solve for x
    x = 140,385,109.50/19,413
  6. Step 6: Final answer
    x = 7,231.50

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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.