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Finding the Fourth Proportional to 2,899.16, 4,000.16 and 1,956.70

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Solution

The fourth proportional to 2,899.16, 4,000.16 and 1,956.70 is: 2,699.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.16 : 4,000.16 = 1,956.70 : x
  2. Step 2: Convert to fraction form
    2,899.16/4,000.16 = 1,956.70/x
  3. Step 3: Cross multiply
    2,899.16x = 4,000.16 × 1,956.70
  4. Step 4: Simplify right side
    2,899.16x = 7,827,107.96
  5. Step 5: Solve for x
    x = 7,827,107.96/2,899.16
  6. Step 6: Final answer
    x = 2,699.79

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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.