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Finding the Fourth Proportional to 2,950.12, 4,425.94 and 870.04

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Solution

The fourth proportional to 2,950.12, 4,425.94 and 870.04 is: 1,305.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.12 : 4,425.94 = 870.04 : x
  2. Step 2: Convert to fraction form
    2,950.12/4,425.94 = 870.04/x
  3. Step 3: Cross multiply
    2,950.12x = 4,425.94 × 870.04
  4. Step 4: Simplify right side
    2,950.12x = 3,850,729.42
  5. Step 5: Solve for x
    x = 3,850,729.42/2,950.12
  6. Step 6: Final answer
    x = 1,305.28

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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.