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Finding the Fourth Proportional to 13,164, 19,756.44 and 6,927.64

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Solution

The fourth proportional to 13,164, 19,756.44 and 6,927.64 is: 10,396.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,164 : 19,756.44 = 6,927.64 : x
  2. Step 2: Convert to fraction form
    13,164/19,756.44 = 6,927.64/x
  3. Step 3: Cross multiply
    13,164x = 19,756.44 × 6,927.64
  4. Step 4: Simplify right side
    13,164x = 136,865,504.00
  5. Step 5: Solve for x
    x = 136,865,504.00/13,164
  6. Step 6: Final answer
    x = 10,396.95

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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.