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Finding the Fourth Proportional to 7,841.66, 11,762.34 and 3,161.57

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Solution

The fourth proportional to 7,841.66, 11,762.34 and 3,161.57 is: 4,742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.66 : 11,762.34 = 3,161.57 : x
  2. Step 2: Convert to fraction form
    7,841.66/11,762.34 = 3,161.57/x
  3. Step 3: Cross multiply
    7,841.66x = 11,762.34 × 3,161.57
  4. Step 4: Simplify right side
    7,841.66x = 37,187,434.71
  5. Step 5: Solve for x
    x = 37,187,434.71/7,841.66
  6. Step 6: Final answer
    x = 4,742.29

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1.5x scale

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.