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Finding the Fourth Proportional to 2,760.63, 3,808.76 and 1,697.30

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Solution

The fourth proportional to 2,760.63, 3,808.76 and 1,697.30 is: 2,341.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.63 : 3,808.76 = 1,697.30 : x
  2. Step 2: Convert to fraction form
    2,760.63/3,808.76 = 1,697.30/x
  3. Step 3: Cross multiply
    2,760.63x = 3,808.76 × 1,697.30
  4. Step 4: Simplify right side
    2,760.63x = 6,464,595.10
  5. Step 5: Solve for x
    x = 6,464,595.10/2,760.63
  6. Step 6: Final answer
    x = 2,341.71

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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.