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Finding the Fourth Proportional to 9,164.65, 13,744.24 and 4,779.72

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Solution

The fourth proportional to 9,164.65, 13,744.24 and 4,779.72 is: 7,168.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.65 : 13,744.24 = 4,779.72 : x
  2. Step 2: Convert to fraction form
    9,164.65/13,744.24 = 4,779.72/x
  3. Step 3: Cross multiply
    9,164.65x = 13,744.24 × 4,779.72
  4. Step 4: Simplify right side
    9,164.65x = 65,693,572.50
  5. Step 5: Solve for x
    x = 65,693,572.50/9,164.65
  6. Step 6: Final answer
    x = 7,168.15

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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.