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Finding the Fourth Proportional to 1,649.72, 2,470.65 and 1,355.16

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Solution

The fourth proportional to 1,649.72, 2,470.65 and 1,355.16 is: 2,029.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.72 : 2,470.65 = 1,355.16 : x
  2. Step 2: Convert to fraction form
    1,649.72/2,470.65 = 1,355.16/x
  3. Step 3: Cross multiply
    1,649.72x = 2,470.65 × 1,355.16
  4. Step 4: Simplify right side
    1,649.72x = 3,348,137.86
  5. Step 5: Solve for x
    x = 3,348,137.86/1,649.72
  6. Step 6: Final answer
    x = 2,029.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.