Home / 2,102-2,900.78-1,170.52

Finding the Fourth Proportional to 2,102, 2,900.78 and 1,170.52

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Solution

The fourth proportional to 2,102, 2,900.78 and 1,170.52 is: 1,615.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102 : 2,900.78 = 1,170.52 : x
  2. Step 2: Convert to fraction form
    2,102/2,900.78 = 1,170.52/x
  3. Step 3: Cross multiply
    2,102x = 2,900.78 × 1,170.52
  4. Step 4: Simplify right side
    2,102x = 3,395,421.01
  5. Step 5: Solve for x
    x = 3,395,421.01/2,102
  6. Step 6: Final answer
    x = 1,615.33

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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.