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Finding the Fourth Proportional to 1,561.42, 2,352.84 and 1,293.52

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Solution

The fourth proportional to 1,561.42, 2,352.84 and 1,293.52 is: 1,949.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.42 : 2,352.84 = 1,293.52 : x
  2. Step 2: Convert to fraction form
    1,561.42/2,352.84 = 1,293.52/x
  3. Step 3: Cross multiply
    1,561.42x = 2,352.84 × 1,293.52
  4. Step 4: Simplify right side
    1,561.42x = 3,043,445.60
  5. Step 5: Solve for x
    x = 3,043,445.60/1,561.42
  6. Step 6: Final answer
    x = 1,949.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.