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Finding the Fourth Proportional to 14,003.75, 21,005.64 and 4,769.75

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Solution

The fourth proportional to 14,003.75, 21,005.64 and 4,769.75 is: 7,154.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,003.75 : 21,005.64 = 4,769.75 : x
  2. Step 2: Convert to fraction form
    14,003.75/21,005.64 = 4,769.75/x
  3. Step 3: Cross multiply
    14,003.75x = 21,005.64 × 4,769.75
  4. Step 4: Simplify right side
    14,003.75x = 100,191,651.39
  5. Step 5: Solve for x
    x = 100,191,651.39/14,003.75
  6. Step 6: Final answer
    x = 7,154.63

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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.