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Finding the Fourth Proportional to 3,001.80, 4,502.75 and 810.84

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Solution

The fourth proportional to 3,001.80, 4,502.75 and 810.84 is: 1,216.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.80 : 4,502.75 = 810.84 : x
  2. Step 2: Convert to fraction form
    3,001.80/4,502.75 = 810.84/x
  3. Step 3: Cross multiply
    3,001.80x = 4,502.75 × 810.84
  4. Step 4: Simplify right side
    3,001.80x = 3,651,005.76
  5. Step 5: Solve for x
    x = 3,651,005.76/3,001.80
  6. Step 6: Final answer
    x = 1,216.27

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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.