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Finding the Fourth Proportional to 1,669.77, 2,320.47 and 1,649.25

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Solution

The fourth proportional to 1,669.77, 2,320.47 and 1,649.25 is: 2,291.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.77 : 2,320.47 = 1,649.25 : x
  2. Step 2: Convert to fraction form
    1,669.77/2,320.47 = 1,649.25/x
  3. Step 3: Cross multiply
    1,669.77x = 2,320.47 × 1,649.25
  4. Step 4: Simplify right side
    1,669.77x = 3,827,035.15
  5. Step 5: Solve for x
    x = 3,827,035.15/1,669.77
  6. Step 6: Final answer
    x = 2,291.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.