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Finding the Fourth Proportional to 14,191.56, 21,289.96 and 6,791

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Solution

The fourth proportional to 14,191.56, 21,289.96 and 6,791 is: 10,187.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,191.56 : 21,289.96 = 6,791 : x
  2. Step 2: Convert to fraction form
    14,191.56/21,289.96 = 6,791/x
  3. Step 3: Cross multiply
    14,191.56x = 21,289.96 × 6,791
  4. Step 4: Simplify right side
    14,191.56x = 144,580,118.36
  5. Step 5: Solve for x
    x = 144,580,118.36/14,191.56
  6. Step 6: Final answer
    x = 10,187.75

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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.