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Finding the Fourth Proportional to 13,509.42, 18,646.11 and 7,922.22

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Solution

The fourth proportional to 13,509.42, 18,646.11 and 7,922.22 is: 10,934.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.42 : 18,646.11 = 7,922.22 : x
  2. Step 2: Convert to fraction form
    13,509.42/18,646.11 = 7,922.22/x
  3. Step 3: Cross multiply
    13,509.42x = 18,646.11 × 7,922.22
  4. Step 4: Simplify right side
    13,509.42x = 147,718,585.56
  5. Step 5: Solve for x
    x = 147,718,585.56/13,509.42
  6. Step 6: Final answer
    x = 10,934.49

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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.