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Finding the Fourth Proportional to 8,271.70, 11,415 and 4,735

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Solution

The fourth proportional to 8,271.70, 11,415 and 4,735 is: 6,534.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.70 : 11,415 = 4,735 : x
  2. Step 2: Convert to fraction form
    8,271.70/11,415 = 4,735/x
  3. Step 3: Cross multiply
    8,271.70x = 11,415 × 4,735
  4. Step 4: Simplify right side
    8,271.70x = 54,050,025
  5. Step 5: Solve for x
    x = 54,050,025/8,271.70
  6. Step 6: Final answer
    x = 6,534.33

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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.