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Finding the Fourth Proportional to 18,688.77, 27,977.16 and 18,024.15

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Solution

The fourth proportional to 18,688.77, 27,977.16 and 18,024.15 is: 26,982.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,688.77 : 27,977.16 = 18,024.15 : x
  2. Step 2: Convert to fraction form
    18,688.77/27,977.16 = 18,024.15/x
  3. Step 3: Cross multiply
    18,688.77x = 27,977.16 × 18,024.15
  4. Step 4: Simplify right side
    18,688.77x = 504,264,528.41
  5. Step 5: Solve for x
    x = 504,264,528.41/18,688.77
  6. Step 6: Final answer
    x = 26,982.22

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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.