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Finding the Fourth Proportional to 12,762.63, 17,609.85 and 7,456.43

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Solution

The fourth proportional to 12,762.63, 17,609.85 and 7,456.43 is: 10,288.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.63 : 17,609.85 = 7,456.43 : x
  2. Step 2: Convert to fraction form
    12,762.63/17,609.85 = 7,456.43/x
  3. Step 3: Cross multiply
    12,762.63x = 17,609.85 × 7,456.43
  4. Step 4: Simplify right side
    12,762.63x = 131,306,544.43
  5. Step 5: Solve for x
    x = 131,306,544.43/12,762.63
  6. Step 6: Final answer
    x = 10,288.36

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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.