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Finding the Fourth Proportional to 11,898.51, 17,810.76 and 8,782.03

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Solution

The fourth proportional to 11,898.51, 17,810.76 and 8,782.03 is: 13,145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.51 : 17,810.76 = 8,782.03 : x
  2. Step 2: Convert to fraction form
    11,898.51/17,810.76 = 8,782.03/x
  3. Step 3: Cross multiply
    11,898.51x = 17,810.76 × 8,782.03
  4. Step 4: Simplify right side
    11,898.51x = 156,414,628.64
  5. Step 5: Solve for x
    x = 156,414,628.64/11,898.51
  6. Step 6: Final answer
    x = 13,145.73

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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.