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Finding the Fourth Proportional to 2,669.64, 3,684.08 and 1,490.68

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Solution

The fourth proportional to 2,669.64, 3,684.08 and 1,490.68 is: 2,057.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.64 : 3,684.08 = 1,490.68 : x
  2. Step 2: Convert to fraction form
    2,669.64/3,684.08 = 1,490.68/x
  3. Step 3: Cross multiply
    2,669.64x = 3,684.08 × 1,490.68
  4. Step 4: Simplify right side
    2,669.64x = 5,491,784.37
  5. Step 5: Solve for x
    x = 5,491,784.37/2,669.64
  6. Step 6: Final answer
    x = 2,057.13

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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.