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Finding the Fourth Proportional to 1,603.94, 2,213.50 and 886.13

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Solution

The fourth proportional to 1,603.94, 2,213.50 and 886.13 is: 1,222.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.94 : 2,213.50 = 886.13 : x
  2. Step 2: Convert to fraction form
    1,603.94/2,213.50 = 886.13/x
  3. Step 3: Cross multiply
    1,603.94x = 2,213.50 × 886.13
  4. Step 4: Simplify right side
    1,603.94x = 1,961,452.07
  5. Step 5: Solve for x
    x = 1,961,452.07/1,603.94
  6. Step 6: Final answer
    x = 1,222.89

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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.