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Finding the Fourth Proportional to 11,937.15, 17,883.86 and 8,642.07

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Solution

The fourth proportional to 11,937.15, 17,883.86 and 8,642.07 is: 12,947.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937.15 : 17,883.86 = 8,642.07 : x
  2. Step 2: Convert to fraction form
    11,937.15/17,883.86 = 8,642.07/x
  3. Step 3: Cross multiply
    11,937.15x = 17,883.86 × 8,642.07
  4. Step 4: Simplify right side
    11,937.15x = 154,553,526.78
  5. Step 5: Solve for x
    x = 154,553,526.78/11,937.15
  6. Step 6: Final answer
    x = 12,947.27

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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.