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Finding the Fourth Proportional to 19,700, 27,186.36 and 11,318.48

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Solution

The fourth proportional to 19,700, 27,186.36 and 11,318.48 is: 15,619.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,700 : 27,186.36 = 11,318.48 : x
  2. Step 2: Convert to fraction form
    19,700/27,186.36 = 11,318.48/x
  3. Step 3: Cross multiply
    19,700x = 27,186.36 × 11,318.48
  4. Step 4: Simplify right side
    19,700x = 307,708,271.93
  5. Step 5: Solve for x
    x = 307,708,271.93/19,700
  6. Step 6: Final answer
    x = 15,619.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.