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Finding the Fourth Proportional to 2,102, 2,900.76 and 1,170.56

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Solution

The fourth proportional to 2,102, 2,900.76 and 1,170.56 is: 1,615.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102 : 2,900.76 = 1,170.56 : x
  2. Step 2: Convert to fraction form
    2,102/2,900.76 = 1,170.56/x
  3. Step 3: Cross multiply
    2,102x = 2,900.76 × 1,170.56
  4. Step 4: Simplify right side
    2,102x = 3,395,513.63
  5. Step 5: Solve for x
    x = 3,395,513.63/2,102
  6. Step 6: Final answer
    x = 1,615.37

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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.