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Finding the Fourth Proportional to 5,180.04, 7,770 and 1,891.96

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Solution

The fourth proportional to 5,180.04, 7,770 and 1,891.96 is: 2,837.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.04 : 7,770 = 1,891.96 : x
  2. Step 2: Convert to fraction form
    5,180.04/7,770 = 1,891.96/x
  3. Step 3: Cross multiply
    5,180.04x = 7,770 × 1,891.96
  4. Step 4: Simplify right side
    5,180.04x = 14,700,529.20
  5. Step 5: Solve for x
    x = 14,700,529.20/5,180.04
  6. Step 6: Final answer
    x = 2,837.92

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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.