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Finding the Fourth Proportional to 2,899.92, 4,350.48 and 1,417.68

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Solution

The fourth proportional to 2,899.92, 4,350.48 and 1,417.68 is: 2,126.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.92 : 4,350.48 = 1,417.68 : x
  2. Step 2: Convert to fraction form
    2,899.92/4,350.48 = 1,417.68/x
  3. Step 3: Cross multiply
    2,899.92x = 4,350.48 × 1,417.68
  4. Step 4: Simplify right side
    2,899.92x = 6,167,588.49
  5. Step 5: Solve for x
    x = 6,167,588.49/2,899.92
  6. Step 6: Final answer
    x = 2,126.81

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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.