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Finding the Fourth Proportional to 8,720.90, 13,083.51 and 2,564.90

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Solution

The fourth proportional to 8,720.90, 13,083.51 and 2,564.90 is: 3,847.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,720.90 : 13,083.51 = 2,564.90 : x
  2. Step 2: Convert to fraction form
    8,720.90/13,083.51 = 2,564.90/x
  3. Step 3: Cross multiply
    8,720.90x = 13,083.51 × 2,564.90
  4. Step 4: Simplify right side
    8,720.90x = 33,557,894.80
  5. Step 5: Solve for x
    x = 33,557,894.80/8,720.90
  6. Step 6: Final answer
    x = 3,847.99

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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.