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Finding the Fourth Proportional to 14,146, 21,219.04 and 4,912

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Solution

The fourth proportional to 14,146, 21,219.04 and 4,912 is: 7,368.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,146 : 21,219.04 = 4,912 : x
  2. Step 2: Convert to fraction form
    14,146/21,219.04 = 4,912/x
  3. Step 3: Cross multiply
    14,146x = 21,219.04 × 4,912
  4. Step 4: Simplify right side
    14,146x = 104,227,924.48
  5. Step 5: Solve for x
    x = 104,227,924.48/14,146
  6. Step 6: Final answer
    x = 7,368.01

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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.