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Finding the Fourth Proportional to 17,564.64, 26,319.20 and 6,456

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Solution

The fourth proportional to 17,564.64, 26,319.20 and 6,456 is: 9,673.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,564.64 : 26,319.20 = 6,456 : x
  2. Step 2: Convert to fraction form
    17,564.64/26,319.20 = 6,456/x
  3. Step 3: Cross multiply
    17,564.64x = 26,319.20 × 6,456
  4. Step 4: Simplify right side
    17,564.64x = 169,916,755.20
  5. Step 5: Solve for x
    x = 169,916,755.20/17,564.64
  6. Step 6: Final answer
    x = 9,673.80

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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.