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Finding the Fourth Proportional to 14,503.70, 21,743 and 8,648

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Solution

The fourth proportional to 14,503.70, 21,743 and 8,648 is: 12,964.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,503.70 : 21,743 = 8,648 : x
  2. Step 2: Convert to fraction form
    14,503.70/21,743 = 8,648/x
  3. Step 3: Cross multiply
    14,503.70x = 21,743 × 8,648
  4. Step 4: Simplify right side
    14,503.70x = 188,033,464
  5. Step 5: Solve for x
    x = 188,033,464/14,503.70
  6. Step 6: Final answer
    x = 12,964.52

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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.