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Finding the Fourth Proportional to 9,352.78, 14,029.20 and 8,782.54

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Solution

The fourth proportional to 9,352.78, 14,029.20 and 8,782.54 is: 13,173.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.78 : 14,029.20 = 8,782.54 : x
  2. Step 2: Convert to fraction form
    9,352.78/14,029.20 = 8,782.54/x
  3. Step 3: Cross multiply
    9,352.78x = 14,029.20 × 8,782.54
  4. Step 4: Simplify right side
    9,352.78x = 123,212,010.17
  5. Step 5: Solve for x
    x = 123,212,010.17/9,352.78
  6. Step 6: Final answer
    x = 13,173.84

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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.