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Finding the Fourth Proportional to 2,102.16, 2,900.94 and 1,157.94

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Solution

The fourth proportional to 2,102.16, 2,900.94 and 1,157.94 is: 1,597.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.16 : 2,900.94 = 1,157.94 : x
  2. Step 2: Convert to fraction form
    2,102.16/2,900.94 = 1,157.94/x
  3. Step 3: Cross multiply
    2,102.16x = 2,900.94 × 1,157.94
  4. Step 4: Simplify right side
    2,102.16x = 3,359,114.46
  5. Step 5: Solve for x
    x = 3,359,114.46/2,102.16
  6. Step 6: Final answer
    x = 1,597.93

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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.