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Finding the Fourth Proportional to 2,684.66, 3,704.82 and 1,505.74

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Solution

The fourth proportional to 2,684.66, 3,704.82 and 1,505.74 is: 2,077.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.66 : 3,704.82 = 1,505.74 : x
  2. Step 2: Convert to fraction form
    2,684.66/3,704.82 = 1,505.74/x
  3. Step 3: Cross multiply
    2,684.66x = 3,704.82 × 1,505.74
  4. Step 4: Simplify right side
    2,684.66x = 5,578,495.67
  5. Step 5: Solve for x
    x = 5,578,495.67/2,684.66
  6. Step 6: Final answer
    x = 2,077.92

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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.