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Finding the Fourth Proportional to 7,716.47, 10,647.92 and 4,359.65

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Solution

The fourth proportional to 7,716.47, 10,647.92 and 4,359.65 is: 6,015.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.47 : 10,647.92 = 4,359.65 : x
  2. Step 2: Convert to fraction form
    7,716.47/10,647.92 = 4,359.65/x
  3. Step 3: Cross multiply
    7,716.47x = 10,647.92 × 4,359.65
  4. Step 4: Simplify right side
    7,716.47x = 46,421,162.09
  5. Step 5: Solve for x
    x = 46,421,162.09/7,716.47
  6. Step 6: Final answer
    x = 6,015.86

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1.5x scale

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.