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Finding the Fourth Proportional to 7,783.66, 11,674.86 and 2,853.10

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Solution

The fourth proportional to 7,783.66, 11,674.86 and 2,853.10 is: 4,279.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.66 : 11,674.86 = 2,853.10 : x
  2. Step 2: Convert to fraction form
    7,783.66/11,674.86 = 2,853.10/x
  3. Step 3: Cross multiply
    7,783.66x = 11,674.86 × 2,853.10
  4. Step 4: Simplify right side
    7,783.66x = 33,309,543.07
  5. Step 5: Solve for x
    x = 33,309,543.07/7,783.66
  6. Step 6: Final answer
    x = 4,279.42

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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.