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Finding the Fourth Proportional to 8,964.50, 13,446.75 and 4,270.28

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Solution

The fourth proportional to 8,964.50, 13,446.75 and 4,270.28 is: 6,405.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964.50 : 13,446.75 = 4,270.28 : x
  2. Step 2: Convert to fraction form
    8,964.50/13,446.75 = 4,270.28/x
  3. Step 3: Cross multiply
    8,964.50x = 13,446.75 × 4,270.28
  4. Step 4: Simplify right side
    8,964.50x = 57,421,387.59
  5. Step 5: Solve for x
    x = 57,421,387.59/8,964.50
  6. Step 6: Final answer
    x = 6,405.42

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1.5x scale

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.