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Finding the Fourth Proportional to 8,491.80, 11,715.46 and 6,259

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Solution

The fourth proportional to 8,491.80, 11,715.46 and 6,259 is: 8,635.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.80 : 11,715.46 = 6,259 : x
  2. Step 2: Convert to fraction form
    8,491.80/11,715.46 = 6,259/x
  3. Step 3: Cross multiply
    8,491.80x = 11,715.46 × 6,259
  4. Step 4: Simplify right side
    8,491.80x = 73,327,064.14
  5. Step 5: Solve for x
    x = 73,327,064.14/8,491.80
  6. Step 6: Final answer
    x = 8,635.04

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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.