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Finding the Fourth Proportional to 3,380.99, 5,071.41 and 1,530.77

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Solution

The fourth proportional to 3,380.99, 5,071.41 and 1,530.77 is: 2,296.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.99 : 5,071.41 = 1,530.77 : x
  2. Step 2: Convert to fraction form
    3,380.99/5,071.41 = 1,530.77/x
  3. Step 3: Cross multiply
    3,380.99x = 5,071.41 × 1,530.77
  4. Step 4: Simplify right side
    3,380.99x = 7,763,162.29
  5. Step 5: Solve for x
    x = 7,763,162.29/3,380.99
  6. Step 6: Final answer
    x = 2,296.12

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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.