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Finding the Fourth Proportional to 3,617.73, 5,006.10 and 3,085.76

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Solution

The fourth proportional to 3,617.73, 5,006.10 and 3,085.76 is: 4,269.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.73 : 5,006.10 = 3,085.76 : x
  2. Step 2: Convert to fraction form
    3,617.73/5,006.10 = 3,085.76/x
  3. Step 3: Cross multiply
    3,617.73x = 5,006.10 × 3,085.76
  4. Step 4: Simplify right side
    3,617.73x = 15,447,647.22
  5. Step 5: Solve for x
    x = 15,447,647.22/3,617.73
  6. Step 6: Final answer
    x = 4,269.98

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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.