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Finding the Fourth Proportional to 19,765.11, 29,647.67 and 8,078.32

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Solution

The fourth proportional to 19,765.11, 29,647.67 and 8,078.32 is: 12,117.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,765.11 : 29,647.67 = 8,078.32 : x
  2. Step 2: Convert to fraction form
    19,765.11/29,647.67 = 8,078.32/x
  3. Step 3: Cross multiply
    19,765.11x = 29,647.67 × 8,078.32
  4. Step 4: Simplify right side
    19,765.11x = 239,503,365.51
  5. Step 5: Solve for x
    x = 239,503,365.51/19,765.11
  6. Step 6: Final answer
    x = 12,117.48

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1.5x scale

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.