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Finding the Fourth Proportional to 13,596, 18,762.51 and 7,934.64

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Solution

The fourth proportional to 13,596, 18,762.51 and 7,934.64 is: 10,949.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,596 : 18,762.51 = 7,934.64 : x
  2. Step 2: Convert to fraction form
    13,596/18,762.51 = 7,934.64/x
  3. Step 3: Cross multiply
    13,596x = 18,762.51 × 7,934.64
  4. Step 4: Simplify right side
    13,596x = 148,873,762.35
  5. Step 5: Solve for x
    x = 148,873,762.35/13,596
  6. Step 6: Final answer
    x = 10,949.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.