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Finding the Fourth Proportional to 18,627.76, 27,938.76 and 6,148

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Solution

The fourth proportional to 18,627.76, 27,938.76 and 6,148 is: 9,221.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,627.76 : 27,938.76 = 6,148 : x
  2. Step 2: Convert to fraction form
    18,627.76/27,938.76 = 6,148/x
  3. Step 3: Cross multiply
    18,627.76x = 27,938.76 × 6,148
  4. Step 4: Simplify right side
    18,627.76x = 171,767,496.48
  5. Step 5: Solve for x
    x = 171,767,496.48/18,627.76
  6. Step 6: Final answer
    x = 9,221.05

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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.