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Finding the Fourth Proportional to 17,627.64, 26,443.02 and 6,385.80

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Solution

The fourth proportional to 17,627.64, 26,443.02 and 6,385.80 is: 9,579.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,627.64 : 26,443.02 = 6,385.80 : x
  2. Step 2: Convert to fraction form
    17,627.64/26,443.02 = 6,385.80/x
  3. Step 3: Cross multiply
    17,627.64x = 26,443.02 × 6,385.80
  4. Step 4: Simplify right side
    17,627.64x = 168,859,837.12
  5. Step 5: Solve for x
    x = 168,859,837.12/17,627.64
  6. Step 6: Final answer
    x = 9,579.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.