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Finding the Fourth Proportional to 18,098, 27,150.58 and 5,617.49

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Solution

The fourth proportional to 18,098, 27,150.58 and 5,617.49 is: 8,427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,098 : 27,150.58 = 5,617.49 : x
  2. Step 2: Convert to fraction form
    18,098/27,150.58 = 5,617.49/x
  3. Step 3: Cross multiply
    18,098x = 27,150.58 × 5,617.49
  4. Step 4: Simplify right side
    18,098x = 152,518,111.64
  5. Step 5: Solve for x
    x = 152,518,111.64/18,098
  6. Step 6: Final answer
    x = 8,427.35

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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.