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Finding the Fourth Proportional to 14,147, 19,523.49 and 7,859.36

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Solution

The fourth proportional to 14,147, 19,523.49 and 7,859.36 is: 10,846.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,147 : 19,523.49 = 7,859.36 : x
  2. Step 2: Convert to fraction form
    14,147/19,523.49 = 7,859.36/x
  3. Step 3: Cross multiply
    14,147x = 19,523.49 × 7,859.36
  4. Step 4: Simplify right side
    14,147x = 153,442,136.37
  5. Step 5: Solve for x
    x = 153,442,136.37/14,147
  6. Step 6: Final answer
    x = 10,846.27

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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.