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Finding the Fourth Proportional to 11,307.74, 16,950.18 and 8,180.12

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Solution

The fourth proportional to 11,307.74, 16,950.18 and 8,180.12 is: 12,261.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,307.74 : 16,950.18 = 8,180.12 : x
  2. Step 2: Convert to fraction form
    11,307.74/16,950.18 = 8,180.12/x
  3. Step 3: Cross multiply
    11,307.74x = 16,950.18 × 8,180.12
  4. Step 4: Simplify right side
    11,307.74x = 138,654,421.67
  5. Step 5: Solve for x
    x = 138,654,421.67/11,307.74
  6. Step 6: Final answer
    x = 12,261.91

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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.