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Finding the Fourth Proportional to 7,776.93, 11,665.32 and 3,614.63

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Solution

The fourth proportional to 7,776.93, 11,665.32 and 3,614.63 is: 5,421.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.93 : 11,665.32 = 3,614.63 : x
  2. Step 2: Convert to fraction form
    7,776.93/11,665.32 = 3,614.63/x
  3. Step 3: Cross multiply
    7,776.93x = 11,665.32 × 3,614.63
  4. Step 4: Simplify right side
    7,776.93x = 42,165,757.31
  5. Step 5: Solve for x
    x = 42,165,757.31/7,776.93
  6. Step 6: Final answer
    x = 5,421.90

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1.5x scale

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.