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Finding the Fourth Proportional to 7,776.87, 11,665.98 and 2,230.68

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Solution

The fourth proportional to 7,776.87, 11,665.98 and 2,230.68 is: 3,346.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.87 : 11,665.98 = 2,230.68 : x
  2. Step 2: Convert to fraction form
    7,776.87/11,665.98 = 2,230.68/x
  3. Step 3: Cross multiply
    7,776.87x = 11,665.98 × 2,230.68
  4. Step 4: Simplify right side
    7,776.87x = 26,023,068.27
  5. Step 5: Solve for x
    x = 26,023,068.27/7,776.87
  6. Step 6: Final answer
    x = 3,346.21

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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.