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Finding the Fourth Proportional to 1,581.22, 2,181.93 and 918.13

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Solution

The fourth proportional to 1,581.22, 2,181.93 and 918.13 is: 1,266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.22 : 2,181.93 = 918.13 : x
  2. Step 2: Convert to fraction form
    1,581.22/2,181.93 = 918.13/x
  3. Step 3: Cross multiply
    1,581.22x = 2,181.93 × 918.13
  4. Step 4: Simplify right side
    1,581.22x = 2,003,295.39
  5. Step 5: Solve for x
    x = 2,003,295.39/1,581.22
  6. Step 6: Final answer
    x = 1,266.93

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1.5x scale

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.