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Finding the Fourth Proportional to 19,568, 29,356.32 and 7,256

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Solution

The fourth proportional to 19,568, 29,356.32 and 7,256 is: 10,885.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,568 : 29,356.32 = 7,256 : x
  2. Step 2: Convert to fraction form
    19,568/29,356.32 = 7,256/x
  3. Step 3: Cross multiply
    19,568x = 29,356.32 × 7,256
  4. Step 4: Simplify right side
    19,568x = 213,009,457.92
  5. Step 5: Solve for x
    x = 213,009,457.92/19,568
  6. Step 6: Final answer
    x = 10,885.60

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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.