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Finding the Fourth Proportional to 12,971.13, 19,493.24 and 7,707.14

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Solution

The fourth proportional to 12,971.13, 19,493.24 and 7,707.14 is: 11,582.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,971.13 : 19,493.24 = 7,707.14 : x
  2. Step 2: Convert to fraction form
    12,971.13/19,493.24 = 7,707.14/x
  3. Step 3: Cross multiply
    12,971.13x = 19,493.24 × 7,707.14
  4. Step 4: Simplify right side
    12,971.13x = 150,237,129.73
  5. Step 5: Solve for x
    x = 150,237,129.73/12,971.13
  6. Step 6: Final answer
    x = 11,582.42

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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.