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Finding the Fourth Proportional to 5,581.90, 7,703.22 and 3,696.76

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Solution

The fourth proportional to 5,581.90, 7,703.22 and 3,696.76 is: 5,101.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.90 : 7,703.22 = 3,696.76 : x
  2. Step 2: Convert to fraction form
    5,581.90/7,703.22 = 3,696.76/x
  3. Step 3: Cross multiply
    5,581.90x = 7,703.22 × 3,696.76
  4. Step 4: Simplify right side
    5,581.90x = 28,476,955.57
  5. Step 5: Solve for x
    x = 28,476,955.57/5,581.90
  6. Step 6: Final answer
    x = 5,101.66

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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.