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Finding the Fourth Proportional to 8,529.66, 11,774.13 and 6,309.42

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Solution

The fourth proportional to 8,529.66, 11,774.13 and 6,309.42 is: 8,709.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,529.66 : 11,774.13 = 6,309.42 : x
  2. Step 2: Convert to fraction form
    8,529.66/11,774.13 = 6,309.42/x
  3. Step 3: Cross multiply
    8,529.66x = 11,774.13 × 6,309.42
  4. Step 4: Simplify right side
    8,529.66x = 74,287,931.30
  5. Step 5: Solve for x
    x = 74,287,931.30/8,529.66
  6. Step 6: Final answer
    x = 8,709.37

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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.