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Finding the Fourth Proportional to 3,031.25, 4,546.88 and 810.09

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Solution

The fourth proportional to 3,031.25, 4,546.88 and 810.09 is: 1,215.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.25 : 4,546.88 = 810.09 : x
  2. Step 2: Convert to fraction form
    3,031.25/4,546.88 = 810.09/x
  3. Step 3: Cross multiply
    3,031.25x = 4,546.88 × 810.09
  4. Step 4: Simplify right side
    3,031.25x = 3,683,382.02
  5. Step 5: Solve for x
    x = 3,683,382.02/3,031.25
  6. Step 6: Final answer
    x = 1,215.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.