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Finding the Fourth Proportional to 14,661.77, 21,976.16 and 7,271.54

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Solution

The fourth proportional to 14,661.77, 21,976.16 and 7,271.54 is: 10,899.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,661.77 : 21,976.16 = 7,271.54 : x
  2. Step 2: Convert to fraction form
    14,661.77/21,976.16 = 7,271.54/x
  3. Step 3: Cross multiply
    14,661.77x = 21,976.16 × 7,271.54
  4. Step 4: Simplify right side
    14,661.77x = 159,800,380.25
  5. Step 5: Solve for x
    x = 159,800,380.25/14,661.77
  6. Step 6: Final answer
    x = 10,899.12

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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.