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Finding the Fourth Proportional to 14,270.76, 21,406.14 and 7,738.31

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Solution

The fourth proportional to 14,270.76, 21,406.14 and 7,738.31 is: 11,607.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,270.76 : 21,406.14 = 7,738.31 : x
  2. Step 2: Convert to fraction form
    14,270.76/21,406.14 = 7,738.31/x
  3. Step 3: Cross multiply
    14,270.76x = 21,406.14 × 7,738.31
  4. Step 4: Simplify right side
    14,270.76x = 165,647,400.74
  5. Step 5: Solve for x
    x = 165,647,400.74/14,270.76
  6. Step 6: Final answer
    x = 11,607.47

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1.5x scale

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.