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Finding the Fourth Proportional to 7,879.29, 10,870 and 4,690.80

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Solution

The fourth proportional to 7,879.29, 10,870 and 4,690.80 is: 6,471.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879.29 : 10,870 = 4,690.80 : x
  2. Step 2: Convert to fraction form
    7,879.29/10,870 = 4,690.80/x
  3. Step 3: Cross multiply
    7,879.29x = 10,870 × 4,690.80
  4. Step 4: Simplify right side
    7,879.29x = 50,988,996
  5. Step 5: Solve for x
    x = 50,988,996/7,879.29
  6. Step 6: Final answer
    x = 6,471.27

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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.