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Finding the Fourth Proportional to 17,782.90, 26,678.31 and 6,689.68

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Solution

The fourth proportional to 17,782.90, 26,678.31 and 6,689.68 is: 10,036.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.90 : 26,678.31 = 6,689.68 : x
  2. Step 2: Convert to fraction form
    17,782.90/26,678.31 = 6,689.68/x
  3. Step 3: Cross multiply
    17,782.90x = 26,678.31 × 6,689.68
  4. Step 4: Simplify right side
    17,782.90x = 178,469,223.45
  5. Step 5: Solve for x
    x = 178,469,223.45/17,782.90
  6. Step 6: Final answer
    x = 10,036.01

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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.