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Finding the Fourth Proportional to 12,164.66, 18,246.06 and 7,485.32

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Solution

The fourth proportional to 12,164.66, 18,246.06 and 7,485.32 is: 11,227.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.66 : 18,246.06 = 7,485.32 : x
  2. Step 2: Convert to fraction form
    12,164.66/18,246.06 = 7,485.32/x
  3. Step 3: Cross multiply
    12,164.66x = 18,246.06 × 7,485.32
  4. Step 4: Simplify right side
    12,164.66x = 136,577,597.84
  5. Step 5: Solve for x
    x = 136,577,597.84/12,164.66
  6. Step 6: Final answer
    x = 11,227.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.