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Finding the Fourth Proportional to 12,188.16, 16,811.01 and 10,317.06

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Solution

The fourth proportional to 12,188.16, 16,811.01 and 10,317.06 is: 14,230.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.16 : 16,811.01 = 10,317.06 : x
  2. Step 2: Convert to fraction form
    12,188.16/16,811.01 = 10,317.06/x
  3. Step 3: Cross multiply
    12,188.16x = 16,811.01 × 10,317.06
  4. Step 4: Simplify right side
    12,188.16x = 173,440,198.83
  5. Step 5: Solve for x
    x = 173,440,198.83/12,188.16
  6. Step 6: Final answer
    x = 14,230.22

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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.