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Finding the Fourth Proportional to 12,804.11, 19,214.88 and 7,858.66

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Solution

The fourth proportional to 12,804.11, 19,214.88 and 7,858.66 is: 11,793.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,804.11 : 19,214.88 = 7,858.66 : x
  2. Step 2: Convert to fraction form
    12,804.11/19,214.88 = 7,858.66/x
  3. Step 3: Cross multiply
    12,804.11x = 19,214.88 × 7,858.66
  4. Step 4: Simplify right side
    12,804.11x = 151,003,208.86
  5. Step 5: Solve for x
    x = 151,003,208.86/12,804.11
  6. Step 6: Final answer
    x = 11,793.34

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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.