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Finding the Fourth Proportional to 13,762.78, 18,992.01 and 7,713.54

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Solution

The fourth proportional to 13,762.78, 18,992.01 and 7,713.54 is: 10,644.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.78 : 18,992.01 = 7,713.54 : x
  2. Step 2: Convert to fraction form
    13,762.78/18,992.01 = 7,713.54/x
  3. Step 3: Cross multiply
    13,762.78x = 18,992.01 × 7,713.54
  4. Step 4: Simplify right side
    13,762.78x = 146,495,628.82
  5. Step 5: Solve for x
    x = 146,495,628.82/13,762.78
  6. Step 6: Final answer
    x = 10,644.33

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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.