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Finding the Fourth Proportional to 7,780.96, 11,621.83 and 7,039.43

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Solution

The fourth proportional to 7,780.96, 11,621.83 and 7,039.43 is: 10,514.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.96 : 11,621.83 = 7,039.43 : x
  2. Step 2: Convert to fraction form
    7,780.96/11,621.83 = 7,039.43/x
  3. Step 3: Cross multiply
    7,780.96x = 11,621.83 × 7,039.43
  4. Step 4: Simplify right side
    7,780.96x = 81,811,041.16
  5. Step 5: Solve for x
    x = 81,811,041.16/7,780.96
  6. Step 6: Final answer
    x = 10,514.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.