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Finding the Fourth Proportional to 16,820.42, 23,212.18 and 9,368.42

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Solution

The fourth proportional to 16,820.42, 23,212.18 and 9,368.42 is: 12,928.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,820.42 : 23,212.18 = 9,368.42 : x
  2. Step 2: Convert to fraction form
    16,820.42/23,212.18 = 9,368.42/x
  3. Step 3: Cross multiply
    16,820.42x = 23,212.18 × 9,368.42
  4. Step 4: Simplify right side
    16,820.42x = 217,461,451.36
  5. Step 5: Solve for x
    x = 217,461,451.36/16,820.42
  6. Step 6: Final answer
    x = 12,928.42

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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.