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Finding the Fourth Proportional to 14,152, 21,231.24 and 4,918

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Solution

The fourth proportional to 14,152, 21,231.24 and 4,918 is: 7,378.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,152 : 21,231.24 = 4,918 : x
  2. Step 2: Convert to fraction form
    14,152/21,231.24 = 4,918/x
  3. Step 3: Cross multiply
    14,152x = 21,231.24 × 4,918
  4. Step 4: Simplify right side
    14,152x = 104,415,238.32
  5. Step 5: Solve for x
    x = 104,415,238.32/14,152
  6. Step 6: Final answer
    x = 7,378.13

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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.