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Finding the Fourth Proportional to 11,779.93, 16,256.22 and 6,402.34

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Solution

The fourth proportional to 11,779.93, 16,256.22 and 6,402.34 is: 8,835.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.93 : 16,256.22 = 6,402.34 : x
  2. Step 2: Convert to fraction form
    11,779.93/16,256.22 = 6,402.34/x
  3. Step 3: Cross multiply
    11,779.93x = 16,256.22 × 6,402.34
  4. Step 4: Simplify right side
    11,779.93x = 104,077,847.55
  5. Step 5: Solve for x
    x = 104,077,847.55/11,779.93
  6. Step 6: Final answer
    x = 8,835.18

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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.