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Finding the Fourth Proportional to 14,200, 19,595.82 and 7,912.36

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Solution

The fourth proportional to 14,200, 19,595.82 and 7,912.36 is: 10,918.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200 : 19,595.82 = 7,912.36 : x
  2. Step 2: Convert to fraction form
    14,200/19,595.82 = 7,912.36/x
  3. Step 3: Cross multiply
    14,200x = 19,595.82 × 7,912.36
  4. Step 4: Simplify right side
    14,200x = 155,049,182.34
  5. Step 5: Solve for x
    x = 155,049,182.34/14,200
  6. Step 6: Final answer
    x = 10,918.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.