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Finding the Fourth Proportional to 14,122.82, 19,489.42 and 7,835.19

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Solution

The fourth proportional to 14,122.82, 19,489.42 and 7,835.19 is: 10,812.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,122.82 : 19,489.42 = 7,835.19 : x
  2. Step 2: Convert to fraction form
    14,122.82/19,489.42 = 7,835.19/x
  3. Step 3: Cross multiply
    14,122.82x = 19,489.42 × 7,835.19
  4. Step 4: Simplify right side
    14,122.82x = 152,703,308.69
  5. Step 5: Solve for x
    x = 152,703,308.69/14,122.82
  6. Step 6: Final answer
    x = 10,812.52

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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.