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Finding the Fourth Proportional to 14,143.12, 21,214.02 and 5,821.06

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Solution

The fourth proportional to 14,143.12, 21,214.02 and 5,821.06 is: 8,731.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,143.12 : 21,214.02 = 5,821.06 : x
  2. Step 2: Convert to fraction form
    14,143.12/21,214.02 = 5,821.06/x
  3. Step 3: Cross multiply
    14,143.12x = 21,214.02 × 5,821.06
  4. Step 4: Simplify right side
    14,143.12x = 123,488,083.26
  5. Step 5: Solve for x
    x = 123,488,083.26/14,143.12
  6. Step 6: Final answer
    x = 8,731.32

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1.5x scale

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.