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Finding the Fourth Proportional to 11,868.35, 17,782.74 and 8,352.07

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Solution

The fourth proportional to 11,868.35, 17,782.74 and 8,352.07 is: 12,514.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,868.35 : 17,782.74 = 8,352.07 : x
  2. Step 2: Convert to fraction form
    11,868.35/17,782.74 = 8,352.07/x
  3. Step 3: Cross multiply
    11,868.35x = 17,782.74 × 8,352.07
  4. Step 4: Simplify right side
    11,868.35x = 148,522,644.81
  5. Step 5: Solve for x
    x = 148,522,644.81/11,868.35
  6. Step 6: Final answer
    x = 12,514.18

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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.