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Finding the Fourth Proportional to 1,272.37, 1,909.13 and 810.03

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Solution

The fourth proportional to 1,272.37, 1,909.13 and 810.03 is: 1,215.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.37 : 1,909.13 = 810.03 : x
  2. Step 2: Convert to fraction form
    1,272.37/1,909.13 = 810.03/x
  3. Step 3: Cross multiply
    1,272.37x = 1,909.13 × 810.03
  4. Step 4: Simplify right side
    1,272.37x = 1,546,441.36
  5. Step 5: Solve for x
    x = 1,546,441.36/1,272.37
  6. Step 6: Final answer
    x = 1,215.40

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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.