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Finding the Fourth Proportional to 2,477.09, 3,712.17 and 1,780.49

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Solution

The fourth proportional to 2,477.09, 3,712.17 and 1,780.49 is: 2,668.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.09 : 3,712.17 = 1,780.49 : x
  2. Step 2: Convert to fraction form
    2,477.09/3,712.17 = 1,780.49/x
  3. Step 3: Cross multiply
    2,477.09x = 3,712.17 × 1,780.49
  4. Step 4: Simplify right side
    2,477.09x = 6,609,470.25
  5. Step 5: Solve for x
    x = 6,609,470.25/2,477.09
  6. Step 6: Final answer
    x = 2,668.24

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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.