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Finding the Fourth Proportional to 2,950.65, 4,425.09 and 870.26

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Solution

The fourth proportional to 2,950.65, 4,425.09 and 870.26 is: 1,305.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.65 : 4,425.09 = 870.26 : x
  2. Step 2: Convert to fraction form
    2,950.65/4,425.09 = 870.26/x
  3. Step 3: Cross multiply
    2,950.65x = 4,425.09 × 870.26
  4. Step 4: Simplify right side
    2,950.65x = 3,850,956.70
  5. Step 5: Solve for x
    x = 3,850,956.70/2,950.65
  6. Step 6: Final answer
    x = 1,305.12

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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.