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Finding the Fourth Proportional to 11,779, 16,254.30 and 6,473.68

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Solution

The fourth proportional to 11,779, 16,254.30 and 6,473.68 is: 8,933.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779 : 16,254.30 = 6,473.68 : x
  2. Step 2: Convert to fraction form
    11,779/16,254.30 = 6,473.68/x
  3. Step 3: Cross multiply
    11,779x = 16,254.30 × 6,473.68
  4. Step 4: Simplify right side
    11,779x = 105,225,136.82
  5. Step 5: Solve for x
    x = 105,225,136.82/11,779
  6. Step 6: Final answer
    x = 8,933.28

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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.