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Finding the Fourth Proportional to 16,820.75, 23,212.64 and 9,368.75

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Solution

The fourth proportional to 16,820.75, 23,212.64 and 9,368.75 is: 12,928.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,820.75 : 23,212.64 = 9,368.75 : x
  2. Step 2: Convert to fraction form
    16,820.75/23,212.64 = 9,368.75/x
  3. Step 3: Cross multiply
    16,820.75x = 23,212.64 × 9,368.75
  4. Step 4: Simplify right side
    16,820.75x = 217,473,421
  5. Step 5: Solve for x
    x = 217,473,421/16,820.75
  6. Step 6: Final answer
    x = 12,928.88

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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.