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Finding the Fourth Proportional to 5,878.09, 8,817.14 and 1,985.23

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Solution

The fourth proportional to 5,878.09, 8,817.14 and 1,985.23 is: 2,977.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.09 : 8,817.14 = 1,985.23 : x
  2. Step 2: Convert to fraction form
    5,878.09/8,817.14 = 1,985.23/x
  3. Step 3: Cross multiply
    5,878.09x = 8,817.14 × 1,985.23
  4. Step 4: Simplify right side
    5,878.09x = 17,504,050.84
  5. Step 5: Solve for x
    x = 17,504,050.84/5,878.09
  6. Step 6: Final answer
    x = 2,977.85

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.