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Finding the Fourth Proportional to 16,855.96, 23,266.64 and 9,781

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Solution

The fourth proportional to 16,855.96, 23,266.64 and 9,781 is: 13,500.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,855.96 : 23,266.64 = 9,781 : x
  2. Step 2: Convert to fraction form
    16,855.96/23,266.64 = 9,781/x
  3. Step 3: Cross multiply
    16,855.96x = 23,266.64 × 9,781
  4. Step 4: Simplify right side
    16,855.96x = 227,571,005.84
  5. Step 5: Solve for x
    x = 227,571,005.84/16,855.96
  6. Step 6: Final answer
    x = 13,500.92

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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.