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Finding the Fourth Proportional to 1,611.13, 2,223.56 and 912.50

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Solution

The fourth proportional to 1,611.13, 2,223.56 and 912.50 is: 1,259.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.13 : 2,223.56 = 912.50 : x
  2. Step 2: Convert to fraction form
    1,611.13/2,223.56 = 912.50/x
  3. Step 3: Cross multiply
    1,611.13x = 2,223.56 × 912.50
  4. Step 4: Simplify right side
    1,611.13x = 2,028,998.50
  5. Step 5: Solve for x
    x = 2,028,998.50/1,611.13
  6. Step 6: Final answer
    x = 1,259.36

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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.