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Finding the Fourth Proportional to 11,779.69, 16,256.10 and 6,402.13

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Solution

The fourth proportional to 11,779.69, 16,256.10 and 6,402.13 is: 8,835.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.69 : 16,256.10 = 6,402.13 : x
  2. Step 2: Convert to fraction form
    11,779.69/16,256.10 = 6,402.13/x
  3. Step 3: Cross multiply
    11,779.69x = 16,256.10 × 6,402.13
  4. Step 4: Simplify right side
    11,779.69x = 104,073,624.85
  5. Step 5: Solve for x
    x = 104,073,624.85/11,779.69
  6. Step 6: Final answer
    x = 8,835.00

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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.