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Finding the Fourth Proportional to 12,850.96, 17,724.72 and 8,130.64

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Solution

The fourth proportional to 12,850.96, 17,724.72 and 8,130.64 is: 11,214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,850.96 : 17,724.72 = 8,130.64 : x
  2. Step 2: Convert to fraction form
    12,850.96/17,724.72 = 8,130.64/x
  3. Step 3: Cross multiply
    12,850.96x = 17,724.72 × 8,130.64
  4. Step 4: Simplify right side
    12,850.96x = 144,113,317.42
  5. Step 5: Solve for x
    x = 144,113,317.42/12,850.96
  6. Step 6: Final answer
    x = 11,214.21

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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.