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Finding the Fourth Proportional to 12,913.15, 17,812.64 and 8,131.22

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Solution

The fourth proportional to 12,913.15, 17,812.64 and 8,131.22 is: 11,216.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,913.15 : 17,812.64 = 8,131.22 : x
  2. Step 2: Convert to fraction form
    12,913.15/17,812.64 = 8,131.22/x
  3. Step 3: Cross multiply
    12,913.15x = 17,812.64 × 8,131.22
  4. Step 4: Simplify right side
    12,913.15x = 144,838,494.62
  5. Step 5: Solve for x
    x = 144,838,494.62/12,913.15
  6. Step 6: Final answer
    x = 11,216.36

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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.