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Finding the Fourth Proportional to 12,898.01, 19,352.94 and 7,643.44

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Solution

The fourth proportional to 12,898.01, 19,352.94 and 7,643.44 is: 11,468.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,898.01 : 19,352.94 = 7,643.44 : x
  2. Step 2: Convert to fraction form
    12,898.01/19,352.94 = 7,643.44/x
  3. Step 3: Cross multiply
    12,898.01x = 19,352.94 × 7,643.44
  4. Step 4: Simplify right side
    12,898.01x = 147,923,035.71
  5. Step 5: Solve for x
    x = 147,923,035.71/12,898.01
  6. Step 6: Final answer
    x = 11,468.67

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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.