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Finding the Fourth Proportional to 16,761, 23,128.44 and 9,689.68

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Solution

The fourth proportional to 16,761, 23,128.44 and 9,689.68 is: 13,370.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,761 : 23,128.44 = 9,689.68 : x
  2. Step 2: Convert to fraction form
    16,761/23,128.44 = 9,689.68/x
  3. Step 3: Cross multiply
    16,761x = 23,128.44 × 9,689.68
  4. Step 4: Simplify right side
    16,761x = 224,107,182.50
  5. Step 5: Solve for x
    x = 224,107,182.50/16,761
  6. Step 6: Final answer
    x = 13,370.75

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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.