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Finding the Fourth Proportional to 8,985.64, 13,480.02 and 2,745.40

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Solution

The fourth proportional to 8,985.64, 13,480.02 and 2,745.40 is: 4,118.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,985.64 : 13,480.02 = 2,745.40 : x
  2. Step 2: Convert to fraction form
    8,985.64/13,480.02 = 2,745.40/x
  3. Step 3: Cross multiply
    8,985.64x = 13,480.02 × 2,745.40
  4. Step 4: Simplify right side
    8,985.64x = 37,008,046.91
  5. Step 5: Solve for x
    x = 37,008,046.91/8,985.64
  6. Step 6: Final answer
    x = 4,118.58

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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.