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Finding the Fourth Proportional to 12,111, 18,150.32 and 6,477.12

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Solution

The fourth proportional to 12,111, 18,150.32 and 6,477.12 is: 9,707.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111 : 18,150.32 = 6,477.12 : x
  2. Step 2: Convert to fraction form
    12,111/18,150.32 = 6,477.12/x
  3. Step 3: Cross multiply
    12,111x = 18,150.32 × 6,477.12
  4. Step 4: Simplify right side
    12,111x = 117,561,800.68
  5. Step 5: Solve for x
    x = 117,561,800.68/12,111
  6. Step 6: Final answer
    x = 9,707.03

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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.