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Finding the Fourth Proportional to 18,605, 25,678.14 and 11,153

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Solution

The fourth proportional to 18,605, 25,678.14 and 11,153 is: 15,393.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,605 : 25,678.14 = 11,153 : x
  2. Step 2: Convert to fraction form
    18,605/25,678.14 = 11,153/x
  3. Step 3: Cross multiply
    18,605x = 25,678.14 × 11,153
  4. Step 4: Simplify right side
    18,605x = 286,388,295.42
  5. Step 5: Solve for x
    x = 286,388,295.42/18,605
  6. Step 6: Final answer
    x = 15,393.08

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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.