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Finding the Fourth Proportional to 5,393.52, 8,085.96 and 2,106

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Solution

The fourth proportional to 5,393.52, 8,085.96 and 2,106 is: 3,157.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.52 : 8,085.96 = 2,106 : x
  2. Step 2: Convert to fraction form
    5,393.52/8,085.96 = 2,106/x
  3. Step 3: Cross multiply
    5,393.52x = 8,085.96 × 2,106
  4. Step 4: Simplify right side
    5,393.52x = 17,029,031.76
  5. Step 5: Solve for x
    x = 17,029,031.76/5,393.52
  6. Step 6: Final answer
    x = 3,157.31

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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.