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Finding the Fourth Proportional to 2,899.67, 4,345.25 and 1,800.70

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Solution

The fourth proportional to 2,899.67, 4,345.25 and 1,800.70 is: 2,698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.67 : 4,345.25 = 1,800.70 : x
  2. Step 2: Convert to fraction form
    2,899.67/4,345.25 = 1,800.70/x
  3. Step 3: Cross multiply
    2,899.67x = 4,345.25 × 1,800.70
  4. Step 4: Simplify right side
    2,899.67x = 7,824,471.81
  5. Step 5: Solve for x
    x = 7,824,471.81/2,899.67
  6. Step 6: Final answer
    x = 2,698.41

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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.