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Finding the Fourth Proportional to 5,305.16, 7,950.20 and 3,907.51

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Solution

The fourth proportional to 5,305.16, 7,950.20 and 3,907.51 is: 5,855.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.16 : 7,950.20 = 3,907.51 : x
  2. Step 2: Convert to fraction form
    5,305.16/7,950.20 = 3,907.51/x
  3. Step 3: Cross multiply
    5,305.16x = 7,950.20 × 3,907.51
  4. Step 4: Simplify right side
    5,305.16x = 31,065,446.59
  5. Step 5: Solve for x
    x = 31,065,446.59/5,305.16
  6. Step 6: Final answer
    x = 5,855.70

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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.