Home / 2,103.24-2,902.65-1,159.22

Finding the Fourth Proportional to 2,103.24, 2,902.65 and 1,159.22

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Solution

The fourth proportional to 2,103.24, 2,902.65 and 1,159.22 is: 1,599.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.24 : 2,902.65 = 1,159.22 : x
  2. Step 2: Convert to fraction form
    2,103.24/2,902.65 = 1,159.22/x
  3. Step 3: Cross multiply
    2,103.24x = 2,902.65 × 1,159.22
  4. Step 4: Simplify right side
    2,103.24x = 3,364,809.93
  5. Step 5: Solve for x
    x = 3,364,809.93/2,103.24
  6. Step 6: Final answer
    x = 1,599.82

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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.