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Finding the Fourth Proportional to 10,779.92, 16,164.08 and 6,339.12

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Solution

The fourth proportional to 10,779.92, 16,164.08 and 6,339.12 is: 9,505.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,779.92 : 16,164.08 = 6,339.12 : x
  2. Step 2: Convert to fraction form
    10,779.92/16,164.08 = 6,339.12/x
  3. Step 3: Cross multiply
    10,779.92x = 16,164.08 × 6,339.12
  4. Step 4: Simplify right side
    10,779.92x = 102,466,042.81
  5. Step 5: Solve for x
    x = 102,466,042.81/10,779.92
  6. Step 6: Final answer
    x = 9,505.27

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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.