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Finding the Fourth Proportional to 10,779.66, 16,147.89 and 4,928.22

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Solution

The fourth proportional to 10,779.66, 16,147.89 and 4,928.22 is: 7,382.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,779.66 : 16,147.89 = 4,928.22 : x
  2. Step 2: Convert to fraction form
    10,779.66/16,147.89 = 4,928.22/x
  3. Step 3: Cross multiply
    10,779.66x = 16,147.89 × 4,928.22
  4. Step 4: Simplify right side
    10,779.66x = 79,580,354.46
  5. Step 5: Solve for x
    x = 79,580,354.46/10,779.66
  6. Step 6: Final answer
    x = 7,382.45

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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.