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Finding the Fourth Proportional to 2,106, 2,906.15 and 1,574.64

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Solution

The fourth proportional to 2,106, 2,906.15 and 1,574.64 is: 2,172.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106 : 2,906.15 = 1,574.64 : x
  2. Step 2: Convert to fraction form
    2,106/2,906.15 = 1,574.64/x
  3. Step 3: Cross multiply
    2,106x = 2,906.15 × 1,574.64
  4. Step 4: Simplify right side
    2,106x = 4,576,132.16
  5. Step 5: Solve for x
    x = 4,576,132.16/2,106
  6. Step 6: Final answer
    x = 2,172.90

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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.