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Finding the Fourth Proportional to 3,001.80, 4,502.70 and 810.53

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Solution

The fourth proportional to 3,001.80, 4,502.70 and 810.53 is: 1,215.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.80 : 4,502.70 = 810.53 : x
  2. Step 2: Convert to fraction form
    3,001.80/4,502.70 = 810.53/x
  3. Step 3: Cross multiply
    3,001.80x = 4,502.70 × 810.53
  4. Step 4: Simplify right side
    3,001.80x = 3,649,573.43
  5. Step 5: Solve for x
    x = 3,649,573.43/3,001.80
  6. Step 6: Final answer
    x = 1,215.80

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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.