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Finding the Fourth Proportional to 11,314.36, 16,978.16 and 4,740

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Solution

The fourth proportional to 11,314.36, 16,978.16 and 4,740 is: 7,112.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.36 : 16,978.16 = 4,740 : x
  2. Step 2: Convert to fraction form
    11,314.36/16,978.16 = 4,740/x
  3. Step 3: Cross multiply
    11,314.36x = 16,978.16 × 4,740
  4. Step 4: Simplify right side
    11,314.36x = 80,476,478.40
  5. Step 5: Solve for x
    x = 80,476,478.40/11,314.36
  6. Step 6: Final answer
    x = 7,112.77

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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.