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Finding the Fourth Proportional to 5,720.50, 8,583.99 and 2,642.50

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Solution

The fourth proportional to 5,720.50, 8,583.99 and 2,642.50 is: 3,965.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.50 : 8,583.99 = 2,642.50 : x
  2. Step 2: Convert to fraction form
    5,720.50/8,583.99 = 2,642.50/x
  3. Step 3: Cross multiply
    5,720.50x = 8,583.99 × 2,642.50
  4. Step 4: Simplify right side
    5,720.50x = 22,683,193.58
  5. Step 5: Solve for x
    x = 22,683,193.58/5,720.50
  6. Step 6: Final answer
    x = 3,965.25

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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.