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Finding the Fourth Proportional to 2,649.99, 3,656.80 and 1,470.97

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Solution

The fourth proportional to 2,649.99, 3,656.80 and 1,470.97 is: 2,029.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.99 : 3,656.80 = 1,470.97 : x
  2. Step 2: Convert to fraction form
    2,649.99/3,656.80 = 1,470.97/x
  3. Step 3: Cross multiply
    2,649.99x = 3,656.80 × 1,470.97
  4. Step 4: Simplify right side
    2,649.99x = 5,379,043.10
  5. Step 5: Solve for x
    x = 5,379,043.10/2,649.99
  6. Step 6: Final answer
    x = 2,029.84

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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.