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Finding the Fourth Proportional to 12,486.88, 18,707.72 and 7,804.63

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Solution

The fourth proportional to 12,486.88, 18,707.72 and 7,804.63 is: 11,692.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,486.88 : 18,707.72 = 7,804.63 : x
  2. Step 2: Convert to fraction form
    12,486.88/18,707.72 = 7,804.63/x
  3. Step 3: Cross multiply
    12,486.88x = 18,707.72 × 7,804.63
  4. Step 4: Simplify right side
    12,486.88x = 146,006,739.21
  5. Step 5: Solve for x
    x = 146,006,739.21/12,486.88
  6. Step 6: Final answer
    x = 11,692.82

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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.