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Finding the Fourth Proportional to 14,008, 21,015.60 and 4,774

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Solution

The fourth proportional to 14,008, 21,015.60 and 4,774 is: 7,162.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,008 : 21,015.60 = 4,774 : x
  2. Step 2: Convert to fraction form
    14,008/21,015.60 = 4,774/x
  3. Step 3: Cross multiply
    14,008x = 21,015.60 × 4,774
  4. Step 4: Simplify right side
    14,008x = 100,328,474.40
  5. Step 5: Solve for x
    x = 100,328,474.40/14,008
  6. Step 6: Final answer
    x = 7,162.23

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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.