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Finding the Fourth Proportional to 8,530.77, 11,783.94 and 7,734.98

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Solution

The fourth proportional to 8,530.77, 11,783.94 and 7,734.98 is: 10,684.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.77 : 11,783.94 = 7,734.98 : x
  2. Step 2: Convert to fraction form
    8,530.77/11,783.94 = 7,734.98/x
  3. Step 3: Cross multiply
    8,530.77x = 11,783.94 × 7,734.98
  4. Step 4: Simplify right side
    8,530.77x = 91,148,578.49
  5. Step 5: Solve for x
    x = 91,148,578.49/8,530.77
  6. Step 6: Final answer
    x = 10,684.69

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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.