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Finding the Fourth Proportional to 18,563.30, 27,848.07 and 9,203.78

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Solution

The fourth proportional to 18,563.30, 27,848.07 and 9,203.78 is: 13,807.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,563.30 : 27,848.07 = 9,203.78 : x
  2. Step 2: Convert to fraction form
    18,563.30/27,848.07 = 9,203.78/x
  3. Step 3: Cross multiply
    18,563.30x = 27,848.07 × 9,203.78
  4. Step 4: Simplify right side
    18,563.30x = 256,307,509.70
  5. Step 5: Solve for x
    x = 256,307,509.70/18,563.30
  6. Step 6: Final answer
    x = 13,807.22

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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.