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Finding the Fourth Proportional to 2,672.60, 3,688.26 and 1,493.67

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Solution

The fourth proportional to 2,672.60, 3,688.26 and 1,493.67 is: 2,061.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.60 : 3,688.26 = 1,493.67 : x
  2. Step 2: Convert to fraction form
    2,672.60/3,688.26 = 1,493.67/x
  3. Step 3: Cross multiply
    2,672.60x = 3,688.26 × 1,493.67
  4. Step 4: Simplify right side
    2,672.60x = 5,509,043.31
  5. Step 5: Solve for x
    x = 5,509,043.31/2,672.60
  6. Step 6: Final answer
    x = 2,061.30

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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.