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Finding the Fourth Proportional to 7,800.68, 10,757.94 and 5,005.64

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Solution

The fourth proportional to 7,800.68, 10,757.94 and 5,005.64 is: 6,903.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.68 : 10,757.94 = 5,005.64 : x
  2. Step 2: Convert to fraction form
    7,800.68/10,757.94 = 5,005.64/x
  3. Step 3: Cross multiply
    7,800.68x = 10,757.94 × 5,005.64
  4. Step 4: Simplify right side
    7,800.68x = 53,850,374.78
  5. Step 5: Solve for x
    x = 53,850,374.78/7,800.68
  6. Step 6: Final answer
    x = 6,903.29

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1.5x scale

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.