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Finding the Fourth Proportional to 2,101.62, 2,900.17 and 1,157.43

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Solution

The fourth proportional to 2,101.62, 2,900.17 and 1,157.43 is: 1,597.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.62 : 2,900.17 = 1,157.43 : x
  2. Step 2: Convert to fraction form
    2,101.62/2,900.17 = 1,157.43/x
  3. Step 3: Cross multiply
    2,101.62x = 2,900.17 × 1,157.43
  4. Step 4: Simplify right side
    2,101.62x = 3,356,743.76
  5. Step 5: Solve for x
    x = 3,356,743.76/2,101.62
  6. Step 6: Final answer
    x = 1,597.22

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1.5x scale

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.