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Finding the Fourth Proportional to 2,899.86, 4,000.75 and 1,720.90

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Solution

The fourth proportional to 2,899.86, 4,000.75 and 1,720.90 is: 2,374.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.86 : 4,000.75 = 1,720.90 : x
  2. Step 2: Convert to fraction form
    2,899.86/4,000.75 = 1,720.90/x
  3. Step 3: Cross multiply
    2,899.86x = 4,000.75 × 1,720.90
  4. Step 4: Simplify right side
    2,899.86x = 6,884,890.68
  5. Step 5: Solve for x
    x = 6,884,890.68/2,899.86
  6. Step 6: Final answer
    x = 2,374.21

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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.