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Finding the Fourth Proportional to 2,643.48, 3,649.20 and 1,700.64

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Solution

The fourth proportional to 2,643.48, 3,649.20 and 1,700.64 is: 2,347.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.48 : 3,649.20 = 1,700.64 : x
  2. Step 2: Convert to fraction form
    2,643.48/3,649.20 = 1,700.64/x
  3. Step 3: Cross multiply
    2,643.48x = 3,649.20 × 1,700.64
  4. Step 4: Simplify right side
    2,643.48x = 6,205,975.49
  5. Step 5: Solve for x
    x = 6,205,975.49/2,643.48
  6. Step 6: Final answer
    x = 2,347.65

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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.