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Finding the Fourth Proportional to 6,661.90, 9,980.70 and 4,061.80

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Solution

The fourth proportional to 6,661.90, 9,980.70 and 4,061.80 is: 6,085.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.90 : 9,980.70 = 4,061.80 : x
  2. Step 2: Convert to fraction form
    6,661.90/9,980.70 = 4,061.80/x
  3. Step 3: Cross multiply
    6,661.90x = 9,980.70 × 4,061.80
  4. Step 4: Simplify right side
    6,661.90x = 40,539,607.26
  5. Step 5: Solve for x
    x = 40,539,607.26/6,661.90
  6. Step 6: Final answer
    x = 6,085.29

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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.