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Finding the Fourth Proportional to 3,017.56, 4,526.34 and 826.31

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Solution

The fourth proportional to 3,017.56, 4,526.34 and 826.31 is: 1,239.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,017.56 : 4,526.34 = 826.31 : x
  2. Step 2: Convert to fraction form
    3,017.56/4,526.34 = 826.31/x
  3. Step 3: Cross multiply
    3,017.56x = 4,526.34 × 826.31
  4. Step 4: Simplify right side
    3,017.56x = 3,740,137.37
  5. Step 5: Solve for x
    x = 3,740,137.37/3,017.56
  6. Step 6: Final answer
    x = 1,239.46

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Similar ratio
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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.