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Finding the Fourth Proportional to 2,605.60, 3,900.30 and 1,506.70

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Solution

The fourth proportional to 2,605.60, 3,900.30 and 1,506.70 is: 2,255.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.60 : 3,900.30 = 1,506.70 : x
  2. Step 2: Convert to fraction form
    2,605.60/3,900.30 = 1,506.70/x
  3. Step 3: Cross multiply
    2,605.60x = 3,900.30 × 1,506.70
  4. Step 4: Simplify right side
    2,605.60x = 5,876,582.01
  5. Step 5: Solve for x
    x = 5,876,582.01/2,605.60
  6. Step 6: Final answer
    x = 2,255.37

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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.