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Finding the Fourth Proportional to 7,085.66, 9,778.41 and 4,102.43

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Solution

The fourth proportional to 7,085.66, 9,778.41 and 4,102.43 is: 5,661.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.66 : 9,778.41 = 4,102.43 : x
  2. Step 2: Convert to fraction form
    7,085.66/9,778.41 = 4,102.43/x
  3. Step 3: Cross multiply
    7,085.66x = 9,778.41 × 4,102.43
  4. Step 4: Simplify right side
    7,085.66x = 40,115,193.64
  5. Step 5: Solve for x
    x = 40,115,193.64/7,085.66
  6. Step 6: Final answer
    x = 5,661.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.