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Finding the Fourth Proportional to 12,811.72, 17,673.12 and 8,030.64

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Solution

The fourth proportional to 12,811.72, 17,673.12 and 8,030.64 is: 11,077.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811.72 : 17,673.12 = 8,030.64 : x
  2. Step 2: Convert to fraction form
    12,811.72/17,673.12 = 8,030.64/x
  3. Step 3: Cross multiply
    12,811.72x = 17,673.12 × 8,030.64
  4. Step 4: Simplify right side
    12,811.72x = 141,926,464.40
  5. Step 5: Solve for x
    x = 141,926,464.40/12,811.72
  6. Step 6: Final answer
    x = 11,077.86

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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.