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Finding the Fourth Proportional to 14,509.80, 21,772.80 and 6,188.40

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Solution

The fourth proportional to 14,509.80, 21,772.80 and 6,188.40 is: 9,286.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.80 : 21,772.80 = 6,188.40 : x
  2. Step 2: Convert to fraction form
    14,509.80/21,772.80 = 6,188.40/x
  3. Step 3: Cross multiply
    14,509.80x = 21,772.80 × 6,188.40
  4. Step 4: Simplify right side
    14,509.80x = 134,738,795.52
  5. Step 5: Solve for x
    x = 134,738,795.52/14,509.80
  6. Step 6: Final answer
    x = 9,286.05

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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.