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Finding the Fourth Proportional to 14,546.80, 21,814.80 and 5,779.90

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Solution

The fourth proportional to 14,546.80, 21,814.80 and 5,779.90 is: 8,667.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,546.80 : 21,814.80 = 5,779.90 : x
  2. Step 2: Convert to fraction form
    14,546.80/21,814.80 = 5,779.90/x
  3. Step 3: Cross multiply
    14,546.80x = 21,814.80 × 5,779.90
  4. Step 4: Simplify right side
    14,546.80x = 126,087,362.52
  5. Step 5: Solve for x
    x = 126,087,362.52/14,546.80
  6. Step 6: Final answer
    x = 8,667.70

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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.