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Finding the Fourth Proportional to 13,590, 20,387.93 and 4,229.82

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Solution

The fourth proportional to 13,590, 20,387.93 and 4,229.82 is: 6,345.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,590 : 20,387.93 = 4,229.82 : x
  2. Step 2: Convert to fraction form
    13,590/20,387.93 = 4,229.82/x
  3. Step 3: Cross multiply
    13,590x = 20,387.93 × 4,229.82
  4. Step 4: Simplify right side
    13,590x = 86,237,252.92
  5. Step 5: Solve for x
    x = 86,237,252.92/13,590
  6. Step 6: Final answer
    x = 6,345.64

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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.