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Finding the Fourth Proportional to 18,657.45, 27,986 and 7,561.50

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Solution

The fourth proportional to 18,657.45, 27,986 and 7,561.50 is: 11,342.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,657.45 : 27,986 = 7,561.50 : x
  2. Step 2: Convert to fraction form
    18,657.45/27,986 = 7,561.50/x
  3. Step 3: Cross multiply
    18,657.45x = 27,986 × 7,561.50
  4. Step 4: Simplify right side
    18,657.45x = 211,616,139
  5. Step 5: Solve for x
    x = 211,616,139/18,657.45
  6. Step 6: Final answer
    x = 11,342.18

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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.