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Finding the Fourth Proportional to 11,782.86, 17,672.94 and 7,386.90

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Solution

The fourth proportional to 11,782.86, 17,672.94 and 7,386.90 is: 11,079.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.86 : 17,672.94 = 7,386.90 : x
  2. Step 2: Convert to fraction form
    11,782.86/17,672.94 = 7,386.90/x
  3. Step 3: Cross multiply
    11,782.86x = 17,672.94 × 7,386.90
  4. Step 4: Simplify right side
    11,782.86x = 130,548,240.49
  5. Step 5: Solve for x
    x = 130,548,240.49/11,782.86
  6. Step 6: Final answer
    x = 11,079.50

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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.