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Finding the Fourth Proportional to 2,977.34, 4,109.10 and 1,651.10

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Solution

The fourth proportional to 2,977.34, 4,109.10 and 1,651.10 is: 2,278.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.34 : 4,109.10 = 1,651.10 : x
  2. Step 2: Convert to fraction form
    2,977.34/4,109.10 = 1,651.10/x
  3. Step 3: Cross multiply
    2,977.34x = 4,109.10 × 1,651.10
  4. Step 4: Simplify right side
    2,977.34x = 6,784,535.01
  5. Step 5: Solve for x
    x = 6,784,535.01/2,977.34
  6. Step 6: Final answer
    x = 2,278.72

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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.