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Finding the Fourth Proportional to 3,080.77, 4,614.77 and 2,291.63

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Solution

The fourth proportional to 3,080.77, 4,614.77 and 2,291.63 is: 3,432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,080.77 : 4,614.77 = 2,291.63 : x
  2. Step 2: Convert to fraction form
    3,080.77/4,614.77 = 2,291.63/x
  3. Step 3: Cross multiply
    3,080.77x = 4,614.77 × 2,291.63
  4. Step 4: Simplify right side
    3,080.77x = 10,575,328.03
  5. Step 5: Solve for x
    x = 10,575,328.03/3,080.77
  6. Step 6: Final answer
    x = 3,432.69

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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.