Home / 1,536.12-2,122.20-1,142.46

Finding the Fourth Proportional to 1,536.12, 2,122.20 and 1,142.46

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Solution

The fourth proportional to 1,536.12, 2,122.20 and 1,142.46 is: 1,578.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.12 : 2,122.20 = 1,142.46 : x
  2. Step 2: Convert to fraction form
    1,536.12/2,122.20 = 1,142.46/x
  3. Step 3: Cross multiply
    1,536.12x = 2,122.20 × 1,142.46
  4. Step 4: Simplify right side
    1,536.12x = 2,424,528.61
  5. Step 5: Solve for x
    x = 2,424,528.61/1,536.12
  6. Step 6: Final answer
    x = 1,578.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.