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Finding the Fourth Proportional to 6,409.51, 9,605.42 and 3,079.80

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Solution

The fourth proportional to 6,409.51, 9,605.42 and 3,079.80 is: 4,615.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.51 : 9,605.42 = 3,079.80 : x
  2. Step 2: Convert to fraction form
    6,409.51/9,605.42 = 3,079.80/x
  3. Step 3: Cross multiply
    6,409.51x = 9,605.42 × 3,079.80
  4. Step 4: Simplify right side
    6,409.51x = 29,582,772.52
  5. Step 5: Solve for x
    x = 29,582,772.52/6,409.51
  6. Step 6: Final answer
    x = 4,615.45

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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.