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Finding the Fourth Proportional to 17,556.64, 26,307.28 and 6,448

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Solution

The fourth proportional to 17,556.64, 26,307.28 and 6,448 is: 9,661.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,556.64 : 26,307.28 = 6,448 : x
  2. Step 2: Convert to fraction form
    17,556.64/26,307.28 = 6,448/x
  3. Step 3: Cross multiply
    17,556.64x = 26,307.28 × 6,448
  4. Step 4: Simplify right side
    17,556.64x = 169,629,341.44
  5. Step 5: Solve for x
    x = 169,629,341.44/17,556.64
  6. Step 6: Final answer
    x = 9,661.83

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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.