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Finding the Fourth Proportional to 9,160, 13,739.36 and 4,779.92

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Solution

The fourth proportional to 9,160, 13,739.36 and 4,779.92 is: 7,169.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160 : 13,739.36 = 4,779.92 : x
  2. Step 2: Convert to fraction form
    9,160/13,739.36 = 4,779.92/x
  3. Step 3: Cross multiply
    9,160x = 13,739.36 × 4,779.92
  4. Step 4: Simplify right side
    9,160x = 65,673,041.65
  5. Step 5: Solve for x
    x = 65,673,041.65/9,160
  6. Step 6: Final answer
    x = 7,169.55

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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.