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Finding the Fourth Proportional to 8,491.70, 12,750.05 and 4,750.83

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Solution

The fourth proportional to 8,491.70, 12,750.05 and 4,750.83 is: 7,133.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.70 : 12,750.05 = 4,750.83 : x
  2. Step 2: Convert to fraction form
    8,491.70/12,750.05 = 4,750.83/x
  3. Step 3: Cross multiply
    8,491.70x = 12,750.05 × 4,750.83
  4. Step 4: Simplify right side
    8,491.70x = 60,573,331.92
  5. Step 5: Solve for x
    x = 60,573,331.92/8,491.70
  6. Step 6: Final answer
    x = 7,133.24

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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.