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Finding the Fourth Proportional to 11,589.78, 17,384.40 and 6,655.80

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Solution

The fourth proportional to 11,589.78, 17,384.40 and 6,655.80 is: 9,983.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.78 : 17,384.40 = 6,655.80 : x
  2. Step 2: Convert to fraction form
    11,589.78/17,384.40 = 6,655.80/x
  3. Step 3: Cross multiply
    11,589.78x = 17,384.40 × 6,655.80
  4. Step 4: Simplify right side
    11,589.78x = 115,707,089.52
  5. Step 5: Solve for x
    x = 115,707,089.52/11,589.78
  6. Step 6: Final answer
    x = 9,983.54

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1.5x scale

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.