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Finding the Fourth Proportional to 2,665.64, 3,680.90 and 1,672.63

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Solution

The fourth proportional to 2,665.64, 3,680.90 and 1,672.63 is: 2,309.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.64 : 3,680.90 = 1,672.63 : x
  2. Step 2: Convert to fraction form
    2,665.64/3,680.90 = 1,672.63/x
  3. Step 3: Cross multiply
    2,665.64x = 3,680.90 × 1,672.63
  4. Step 4: Simplify right side
    2,665.64x = 6,156,783.77
  5. Step 5: Solve for x
    x = 6,156,783.77/2,665.64
  6. Step 6: Final answer
    x = 2,309.68

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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.