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Finding the Fourth Proportional to 7,778.68, 11,671.06 and 5,403.64

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Solution

The fourth proportional to 7,778.68, 11,671.06 and 5,403.64 is: 8,107.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.68 : 11,671.06 = 5,403.64 : x
  2. Step 2: Convert to fraction form
    7,778.68/11,671.06 = 5,403.64/x
  3. Step 3: Cross multiply
    7,778.68x = 11,671.06 × 5,403.64
  4. Step 4: Simplify right side
    7,778.68x = 63,066,206.66
  5. Step 5: Solve for x
    x = 63,066,206.66/7,778.68
  6. Step 6: Final answer
    x = 8,107.57

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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.