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Finding the Fourth Proportional to 8,000.34, 11,040.47 and 4,463.47

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Solution

The fourth proportional to 8,000.34, 11,040.47 and 4,463.47 is: 6,159.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.34 : 11,040.47 = 4,463.47 : x
  2. Step 2: Convert to fraction form
    8,000.34/11,040.47 = 4,463.47/x
  3. Step 3: Cross multiply
    8,000.34x = 11,040.47 × 4,463.47
  4. Step 4: Simplify right side
    8,000.34x = 49,278,806.63
  5. Step 5: Solve for x
    x = 49,278,806.63/8,000.34
  6. Step 6: Final answer
    x = 6,159.59

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Half scale
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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.