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Finding the Fourth Proportional to 12,992.64, 17,931.48 and 8,520.12

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Solution

The fourth proportional to 12,992.64, 17,931.48 and 8,520.12 is: 11,758.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,992.64 : 17,931.48 = 8,520.12 : x
  2. Step 2: Convert to fraction form
    12,992.64/17,931.48 = 8,520.12/x
  3. Step 3: Cross multiply
    12,992.64x = 17,931.48 × 8,520.12
  4. Step 4: Simplify right side
    12,992.64x = 152,778,361.38
  5. Step 5: Solve for x
    x = 152,778,361.38/12,992.64
  6. Step 6: Final answer
    x = 11,758.84

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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.