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Finding the Fourth Proportional to 18,299.51, 27,450.89 and 5,152

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Solution

The fourth proportional to 18,299.51, 27,450.89 and 5,152 is: 7,728.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,299.51 : 27,450.89 = 5,152 : x
  2. Step 2: Convert to fraction form
    18,299.51/27,450.89 = 5,152/x
  3. Step 3: Cross multiply
    18,299.51x = 27,450.89 × 5,152
  4. Step 4: Simplify right side
    18,299.51x = 141,426,985.28
  5. Step 5: Solve for x
    x = 141,426,985.28/18,299.51
  6. Step 6: Final answer
    x = 7,728.46

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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.