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Finding the Fourth Proportional to 3,605.70, 5,420.70 and 3,071.10

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Solution

The fourth proportional to 3,605.70, 5,420.70 and 3,071.10 is: 4,617.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.70 : 5,420.70 = 3,071.10 : x
  2. Step 2: Convert to fraction form
    3,605.70/5,420.70 = 3,071.10/x
  3. Step 3: Cross multiply
    3,605.70x = 5,420.70 × 3,071.10
  4. Step 4: Simplify right side
    3,605.70x = 16,647,511.77
  5. Step 5: Solve for x
    x = 16,647,511.77/3,605.70
  6. Step 6: Final answer
    x = 4,617.00

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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.