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Finding the Fourth Proportional to 2,600.02, 3,901.80 and 1,720.64

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Solution

The fourth proportional to 2,600.02, 3,901.80 and 1,720.64 is: 2,582.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.02 : 3,901.80 = 1,720.64 : x
  2. Step 2: Convert to fraction form
    2,600.02/3,901.80 = 1,720.64/x
  3. Step 3: Cross multiply
    2,600.02x = 3,901.80 × 1,720.64
  4. Step 4: Simplify right side
    2,600.02x = 6,713,593.15
  5. Step 5: Solve for x
    x = 6,713,593.15/2,600.02
  6. Step 6: Final answer
    x = 2,582.13

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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.