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Finding the Fourth Proportional to 10,860.50, 16,290.76 and 2,652.50

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Solution

The fourth proportional to 10,860.50, 16,290.76 and 2,652.50 is: 3,978.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,860.50 : 16,290.76 = 2,652.50 : x
  2. Step 2: Convert to fraction form
    10,860.50/16,290.76 = 2,652.50/x
  3. Step 3: Cross multiply
    10,860.50x = 16,290.76 × 2,652.50
  4. Step 4: Simplify right side
    10,860.50x = 43,211,240.90
  5. Step 5: Solve for x
    x = 43,211,240.90/10,860.50
  6. Step 6: Final answer
    x = 3,978.75

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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.