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Finding the Fourth Proportional to 1,315.22, 1,811.90 and 1,090.31

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Solution

The fourth proportional to 1,315.22, 1,811.90 and 1,090.31 is: 1,502.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.22 : 1,811.90 = 1,090.31 : x
  2. Step 2: Convert to fraction form
    1,315.22/1,811.90 = 1,090.31/x
  3. Step 3: Cross multiply
    1,315.22x = 1,811.90 × 1,090.31
  4. Step 4: Simplify right side
    1,315.22x = 1,975,526.36
  5. Step 5: Solve for x
    x = 1,975,526.36/1,315.22
  6. Step 6: Final answer
    x = 1,502.06

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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.