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Finding the Fourth Proportional to 30,778.74, 46,169.82 and 9,719.28

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Solution

The fourth proportional to 30,778.74, 46,169.82 and 9,719.28 is: 14,579.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,778.74 : 46,169.82 = 9,719.28 : x
  2. Step 2: Convert to fraction form
    30,778.74/46,169.82 = 9,719.28/x
  3. Step 3: Cross multiply
    30,778.74x = 46,169.82 × 9,719.28
  4. Step 4: Simplify right side
    30,778.74x = 448,737,408.13
  5. Step 5: Solve for x
    x = 448,737,408.13/30,778.74
  6. Step 6: Final answer
    x = 14,579.46

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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.