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Finding the Fourth Proportional to 2,828.72, 3,903.63 and 1,649.57

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Solution

The fourth proportional to 2,828.72, 3,903.63 and 1,649.57 is: 2,276.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.72 : 3,903.63 = 1,649.57 : x
  2. Step 2: Convert to fraction form
    2,828.72/3,903.63 = 1,649.57/x
  3. Step 3: Cross multiply
    2,828.72x = 3,903.63 × 1,649.57
  4. Step 4: Simplify right side
    2,828.72x = 6,439,291.42
  5. Step 5: Solve for x
    x = 6,439,291.42/2,828.72
  6. Step 6: Final answer
    x = 2,276.40

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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.