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Finding the Fourth Proportional to 2,109.90, 3,165.76 and 811.07

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Solution

The fourth proportional to 2,109.90, 3,165.76 and 811.07 is: 1,216.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.90 : 3,165.76 = 811.07 : x
  2. Step 2: Convert to fraction form
    2,109.90/3,165.76 = 811.07/x
  3. Step 3: Cross multiply
    2,109.90x = 3,165.76 × 811.07
  4. Step 4: Simplify right side
    2,109.90x = 2,567,637.13
  5. Step 5: Solve for x
    x = 2,567,637.13/2,109.90
  6. Step 6: Final answer
    x = 1,216.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.