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Finding the Fourth Proportional to 18,551.64, 27,830.94 and 7,459.17

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Solution

The fourth proportional to 18,551.64, 27,830.94 and 7,459.17 is: 11,190.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,551.64 : 27,830.94 = 7,459.17 : x
  2. Step 2: Convert to fraction form
    18,551.64/27,830.94 = 7,459.17/x
  3. Step 3: Cross multiply
    18,551.64x = 27,830.94 × 7,459.17
  4. Step 4: Simplify right side
    18,551.64x = 207,595,712.72
  5. Step 5: Solve for x
    x = 207,595,712.72/18,551.64
  6. Step 6: Final answer
    x = 11,190.15

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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.