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Finding the Fourth Proportional to 13,186.42, 19,646.47 and 12,559.48

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Solution

The fourth proportional to 13,186.42, 19,646.47 and 12,559.48 is: 18,712.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,186.42 : 19,646.47 = 12,559.48 : x
  2. Step 2: Convert to fraction form
    13,186.42/19,646.47 = 12,559.48/x
  3. Step 3: Cross multiply
    13,186.42x = 19,646.47 × 12,559.48
  4. Step 4: Simplify right side
    13,186.42x = 246,749,447.04
  5. Step 5: Solve for x
    x = 246,749,447.04/13,186.42
  6. Step 6: Final answer
    x = 18,712.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.