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Finding the Fourth Proportional to 2,101.68, 2,900.16 and 1,170

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Solution

The fourth proportional to 2,101.68, 2,900.16 and 1,170 is: 1,614.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.68 : 2,900.16 = 1,170 : x
  2. Step 2: Convert to fraction form
    2,101.68/2,900.16 = 1,170/x
  3. Step 3: Cross multiply
    2,101.68x = 2,900.16 × 1,170
  4. Step 4: Simplify right side
    2,101.68x = 3,393,187.20
  5. Step 5: Solve for x
    x = 3,393,187.20/2,101.68
  6. Step 6: Final answer
    x = 1,614.51

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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.