Home / 1,607.26-2,218.43-909.02

Finding the Fourth Proportional to 1,607.26, 2,218.43 and 909.02

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Solution

The fourth proportional to 1,607.26, 2,218.43 and 909.02 is: 1,254.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.26 : 2,218.43 = 909.02 : x
  2. Step 2: Convert to fraction form
    1,607.26/2,218.43 = 909.02/x
  3. Step 3: Cross multiply
    1,607.26x = 2,218.43 × 909.02
  4. Step 4: Simplify right side
    1,607.26x = 2,016,597.24
  5. Step 5: Solve for x
    x = 2,016,597.24/1,607.26
  6. Step 6: Final answer
    x = 1,254.68

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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.