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Finding the Fourth Proportional to 2,672.59, 3,688.10 and 1,477.66

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Solution

The fourth proportional to 2,672.59, 3,688.10 and 1,477.66 is: 2,039.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.59 : 3,688.10 = 1,477.66 : x
  2. Step 2: Convert to fraction form
    2,672.59/3,688.10 = 1,477.66/x
  3. Step 3: Cross multiply
    2,672.59x = 3,688.10 × 1,477.66
  4. Step 4: Simplify right side
    2,672.59x = 5,449,757.85
  5. Step 5: Solve for x
    x = 5,449,757.85/2,672.59
  6. Step 6: Final answer
    x = 2,039.13

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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.