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Finding the Fourth Proportional to 14,491.83, 21,737.75 and 7,914.43

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Solution

The fourth proportional to 14,491.83, 21,737.75 and 7,914.43 is: 11,871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,491.83 : 21,737.75 = 7,914.43 : x
  2. Step 2: Convert to fraction form
    14,491.83/21,737.75 = 7,914.43/x
  3. Step 3: Cross multiply
    14,491.83x = 21,737.75 × 7,914.43
  4. Step 4: Simplify right side
    14,491.83x = 172,041,806.82
  5. Step 5: Solve for x
    x = 172,041,806.82/14,491.83
  6. Step 6: Final answer
    x = 11,871.64

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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.