Home / 2,103.42-2,902.85-1,159.20

Finding the Fourth Proportional to 2,103.42, 2,902.85 and 1,159.20

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Solution

The fourth proportional to 2,103.42, 2,902.85 and 1,159.20 is: 1,599.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.42 : 2,902.85 = 1,159.20 : x
  2. Step 2: Convert to fraction form
    2,103.42/2,902.85 = 1,159.20/x
  3. Step 3: Cross multiply
    2,103.42x = 2,902.85 × 1,159.20
  4. Step 4: Simplify right side
    2,103.42x = 3,364,987.18
  5. Step 5: Solve for x
    x = 3,364,987.18/2,103.42
  6. Step 6: Final answer
    x = 1,599.77

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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.