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Finding the Fourth Proportional to 2,697, 3,720.12 and 1,909.68

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Solution

The fourth proportional to 2,697, 3,720.12 and 1,909.68 is: 2,634.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697 : 3,720.12 = 1,909.68 : x
  2. Step 2: Convert to fraction form
    2,697/3,720.12 = 1,909.68/x
  3. Step 3: Cross multiply
    2,697x = 3,720.12 × 1,909.68
  4. Step 4: Simplify right side
    2,697x = 7,104,238.76
  5. Step 5: Solve for x
    x = 7,104,238.76/2,697
  6. Step 6: Final answer
    x = 2,634.13

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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.