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Finding the Fourth Proportional to 17,187, 25,782 and 4,875

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Solution

The fourth proportional to 17,187, 25,782 and 4,875 is: 7,312.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,187 : 25,782 = 4,875 : x
  2. Step 2: Convert to fraction form
    17,187/25,782 = 4,875/x
  3. Step 3: Cross multiply
    17,187x = 25,782 × 4,875
  4. Step 4: Simplify right side
    17,187x = 125,687,250
  5. Step 5: Solve for x
    x = 125,687,250/17,187
  6. Step 6: Final answer
    x = 7,312.93

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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.