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Finding the Fourth Proportional to 8,666.84, 11,961.42 and 5,309.84

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Solution

The fourth proportional to 8,666.84, 11,961.42 and 5,309.84 is: 7,328.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,666.84 : 11,961.42 = 5,309.84 : x
  2. Step 2: Convert to fraction form
    8,666.84/11,961.42 = 5,309.84/x
  3. Step 3: Cross multiply
    8,666.84x = 11,961.42 × 5,309.84
  4. Step 4: Simplify right side
    8,666.84x = 63,513,226.37
  5. Step 5: Solve for x
    x = 63,513,226.37/8,666.84
  6. Step 6: Final answer
    x = 7,328.30

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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.