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Finding the Fourth Proportional to 11,784.92, 16,263.05 and 6,479.42

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Solution

The fourth proportional to 11,784.92, 16,263.05 and 6,479.42 is: 8,941.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,784.92 : 16,263.05 = 6,479.42 : x
  2. Step 2: Convert to fraction form
    11,784.92/16,263.05 = 6,479.42/x
  3. Step 3: Cross multiply
    11,784.92x = 16,263.05 × 6,479.42
  4. Step 4: Simplify right side
    11,784.92x = 105,375,017.72
  5. Step 5: Solve for x
    x = 105,375,017.72/11,784.92
  6. Step 6: Final answer
    x = 8,941.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.