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Finding the Fourth Proportional to 3,031, 4,543.26 and 1,275.58

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Solution

The fourth proportional to 3,031, 4,543.26 and 1,275.58 is: 1,912.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031 : 4,543.26 = 1,275.58 : x
  2. Step 2: Convert to fraction form
    3,031/4,543.26 = 1,275.58/x
  3. Step 3: Cross multiply
    3,031x = 4,543.26 × 1,275.58
  4. Step 4: Simplify right side
    3,031x = 5,795,291.59
  5. Step 5: Solve for x
    x = 5,795,291.59/3,031
  6. Step 6: Final answer
    x = 1,912.01

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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.