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Finding the Fourth Proportional to 2,352.25, 3,528.93 and 813.25

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Solution

The fourth proportional to 2,352.25, 3,528.93 and 813.25 is: 1,220.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.25 : 3,528.93 = 813.25 : x
  2. Step 2: Convert to fraction form
    2,352.25/3,528.93 = 813.25/x
  3. Step 3: Cross multiply
    2,352.25x = 3,528.93 × 813.25
  4. Step 4: Simplify right side
    2,352.25x = 2,869,902.32
  5. Step 5: Solve for x
    x = 2,869,902.32/2,352.25
  6. Step 6: Final answer
    x = 1,220.07

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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.