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Finding the Fourth Proportional to 7,756.83, 10,702 and 4,399.38

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Solution

The fourth proportional to 7,756.83, 10,702 and 4,399.38 is: 6,069.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.83 : 10,702 = 4,399.38 : x
  2. Step 2: Convert to fraction form
    7,756.83/10,702 = 4,399.38/x
  3. Step 3: Cross multiply
    7,756.83x = 10,702 × 4,399.38
  4. Step 4: Simplify right side
    7,756.83x = 47,082,164.76
  5. Step 5: Solve for x
    x = 47,082,164.76/7,756.83
  6. Step 6: Final answer
    x = 6,069.77

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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.