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Finding the Fourth Proportional to 12,811.34, 17,679.74 and 7,434.86

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Solution

The fourth proportional to 12,811.34, 17,679.74 and 7,434.86 is: 10,260.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811.34 : 17,679.74 = 7,434.86 : x
  2. Step 2: Convert to fraction form
    12,811.34/17,679.74 = 7,434.86/x
  3. Step 3: Cross multiply
    12,811.34x = 17,679.74 × 7,434.86
  4. Step 4: Simplify right side
    12,811.34x = 131,446,391.74
  5. Step 5: Solve for x
    x = 131,446,391.74/12,811.34
  6. Step 6: Final answer
    x = 10,260.16

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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.