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Finding the Fourth Proportional to 4,649.76, 6,415.74 and 2,660.22

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Solution

The fourth proportional to 4,649.76, 6,415.74 and 2,660.22 is: 3,670.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.76 : 6,415.74 = 2,660.22 : x
  2. Step 2: Convert to fraction form
    4,649.76/6,415.74 = 2,660.22/x
  3. Step 3: Cross multiply
    4,649.76x = 6,415.74 × 2,660.22
  4. Step 4: Simplify right side
    4,649.76x = 17,067,279.86
  5. Step 5: Solve for x
    x = 17,067,279.86/4,649.76
  6. Step 6: Final answer
    x = 3,670.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.