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Finding the Fourth Proportional to 17,642.88, 26,457.64 and 7,109.32

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Solution

The fourth proportional to 17,642.88, 26,457.64 and 7,109.32 is: 10,661.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,642.88 : 26,457.64 = 7,109.32 : x
  2. Step 2: Convert to fraction form
    17,642.88/26,457.64 = 7,109.32/x
  3. Step 3: Cross multiply
    17,642.88x = 26,457.64 × 7,109.32
  4. Step 4: Simplify right side
    17,642.88x = 188,095,829.20
  5. Step 5: Solve for x
    x = 188,095,829.20/17,642.88
  6. Step 6: Final answer
    x = 10,661.29

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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.